a) Expand and simplify (2x + y)⁵ b) Using the first four terms of the expansion to evaluate 6.02⁵

a) Expand and simplify (2x + y)⁵
b) Using the first four terms of the expansion to evaluate 6.02⁵

---

---

Kavungya answered the question on September 17, 2019 at 08:09

Exams With Marking Schemes

• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Grade 9
• PP1
• PP2
• Playgroup
• Form 1
• Form 2
• Form 3
• Form 4

Related Questions

---

• Evaluate 5 cos²? + 2 = 3sin²? - 2cos ? given that (Solved)
  

  Evaluate 5 cos²θ + 2 = 3sin²θ - 2cos θ given that

  Date posted: September 17, 2019 .    Answers (1)

• Given that OA=6p – 4q, OB = 20 – 14q and AB = m(2p + 5q), Find the value of m. (Solved)
  

  Given that OA=6p – 4q, OB = 20 – 14q and AB = m(2p + 5q), Find the value of m.

  Date posted: September 17, 2019 .    Answers (1)

• Given the equation y = x² – 5x +6 a)In the space provided below sketch the graph of the equation y = x² – 5x +6 b)Write... (Solved)
  

  Given the equation y = x² – 5x +6
  a)In the space provided below sketch the graph of the equation y = x² – 5x +6
  b)Write down the co – ordinates of the Y intercept and X intercept
  c)Calculate the area grounded by the curve y = x² – 5x +6 and the lines x = 0
  and x= 4
  

  Date posted: September 17, 2019 .    Answers (1)

• The table below shows corresponding values of X and Y which are believed to be connected by a relation of the form Y = ab^x... (Solved)
  

  The table below shows corresponding values of X and Y which are believed to be connected by a relation of the form Y = ab^x – 10 where a and b are constants.
  
  By drawing an appropriate straight line graph on the grid provided
  (i) Find the approximate numerical values of a and b
  (ii) Hence establish the particular mathematical equation connecting the variables X and Y
  b)By using the equation find the value of Y when X = 4.5 to the nearest Unit
  

  Date posted: September 17, 2019 .    Answers (1)

• In a triangle below AOB, OA = a, OB = b, M is the midpoint of AB and N is a point on OB such... (Solved)
  

  In a triangle below AOB, OA = a, OB = b, M is the midpoint of AB and N is a point on OB such that ON: NB = 1:2 AN and OM intersect at P
  
  a) Express the following vectors in terms of a and b
  AB
  OM
  AN
  If OP = SOM express OP in terms of t, a and b
  b) If AP = tAN express
  AP in terms of t , a and b
  c)Hence express OP in terms of t, a and b
  d)Using the results above solve for s and t
  

  Date posted: September 17, 2019 .    Answers (1)

• Convert the following recurring decimal to a fraction 5.3°17° (Solved)
  

  Convert the following recurring decimal to a fraction 5.3°17°

  Date posted: September 17, 2019 .    Answers (1)

• Factorize a² –b² hence find the exact value of 4897² – 4797² (Solved)
  

  Factorize a² –b² hence find the exact value of 4897² – 4797²

  Date posted: September 17, 2019 .    Answers (1)

• a) Given that y = 2cos (2x – 30)^o is the equation of a curve state the amplitude and period of the curve b)Given that y... (Solved)
  

  a) Given that y = 2cos (2x – 30)^o is the equation of a curve state the amplitude and period of the curve
  b)Given that y = -1 1/5 in the above function, find x where

  Date posted: September 17, 2019 .    Answers (1)

• Machine A can do a piece of work n 6 hours while machine B can do the same piece of work in 9 hours. Machine... (Solved)
  

  Machine A can do a piece of work n 6 hours while machine B can do the same piece of work in 9 hours. Machine A was set to do the piece of work but after 3 hours it broke down and machine B did the rest of the work. Find how long would machine B take to do the rest of the work

  Date posted: September 17, 2019 .    Answers (1)

• Make t the subject of the formular (Solved)
  

  Make t the subject of the formular
  

  Date posted: September 17, 2019 .    Answers (1)

• Use matrix method to solve the following pair of simultaneous equation 3x + 2y = 12 -y + 4x = 5 (Solved)
  

  Use matrix method to solve the following pair of simultaneous equation
  3x + 2y = 12
  -y + 4x = 5
  

  Date posted: September 17, 2019 .    Answers (1)

• P varies directly as Q and inversely as the square of R. When Q=5 and R=3, P=20. Find R when P=21.6 and Q=15 (Solved)
  

  P varies directly as Q and inversely as the square of R. When Q=5 and R=3, P=20. Find R when P=21.6 and Q=15

  Date posted: September 17, 2019 .    Answers (1)

• Without using tables and calculators simplify by rationalizing the denominator Leave your expression in surd form (Solved)
  

  Without using tables and calculators simplify by rationalizing the denominator
  Leave your expression in surd form
  

  Date posted: September 17, 2019 .    Answers (1)

• The 1^st 2^nd and 5^th terms of an arithmetic progression series are three consecutive terms of a G.P, find the ratio of the G.P (Solved)
  

  The 1^st 2^nd and 5^th terms of an arithmetic progression series are three consecutive terms of a G.P, find the ratio of the G.P

  Date posted: September 17, 2019 .    Answers (1)

• Solve the compound inequalities and hence list down the integers which satisfy the inequalities (Solved)
  

  Solve the compound inequalities and hence list down the integers which satisfy the inequalities

  Date posted: September 17, 2019 .    Answers (1)

• Expand (1 – 2x)⁵ hence use the expansion up to the forth term to estimate the value of (0.8)⁵ correct to 3 decimal... (Solved)
  

  Expand (1 – 2x)⁵ hence use the expansion up to the forth term to estimate the value of (0.8)⁵ correct to 3 decimal places

  Date posted: September 17, 2019 .    Answers (1)

• Use logarithms tables to evaluate (Solved)
  

  Use logarithms tables to evaluate
  

  Date posted: September 17, 2019 .    Answers (1)

• A manufacturer discovers that a mixture of juice brand A which costs Kshs. 30 per litre and juice brand B which costs Kshs. 45 per... (Solved)
  

  A manufacturer discovers that a mixture of juice brand A which costs Kshs. 30 per litre and juice brand B which costs Kshs. 45 per litre would cost Kshs. 40 per litre of the same mixture.
  a)How much of each would be required to produce one litre of each mixture.
  b)If the cost of production of juice brand A is shs. 27 per litre and juice brand B which costs shs. 42 per litre. What price must the manufacturer sell the mixture to make a profit of 20% per litre?
  c)If the cost of production decreases by 10% for juice brand B, what price must the manufacturer sell to retain the same profit margin?
  
  

  Date posted: September 17, 2019 .    Answers (1)

• The diagram below shows a sketch of the line y = 16 – x² and y = x² – 4x intersecting at point A and... (Solved)
  

  The diagram below shows a sketch of the line y = 16 – x² and y = x² – 4x intersecting at point A and B.
  
  a)Find the coordinates of A and B.
  b)Calculate the area bounded by the curve y = 16 – x² the y-axis and the x-axis.
  c)Calculate the area of the shaded region that lies below the x – axis.
  d)Calculate the area of the region enclosed by the curves y = 16 – x², y = x² – 4x and the y – axis.
  

  Date posted: September 17, 2019 .    Answers (1)

• Towns P(36⁰N, 49⁰E) and town Q(36⁰N, 131⁰W) are on the earth surface. a)Find the difference between P and Q along the parallel of latitude... (Solved)
  

  Towns P(36⁰N, 49⁰E) and town Q(36⁰N, 131⁰W) are on the earth surface.
  a)Find the difference between P and Q along the parallel of latitude given that the radius of the earth is 6370km. (Give your answer to the nearest km.)
  b)Another town R, is 840km East of town Q and on the same latitude, find the position of R.
  c)If the local time at town Q is 12:30am on Monday, what is the local time of town R?
  

  Date posted: September 17, 2019 .    Answers (1)