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What is the value of x²(y²-z²), when x=y-1, y=2z and z=2?

Class: KCPE

Subject: Mathematics

Topic: Algebra

Lesson Summary

What is the value of x²(y²-z²), when x=y-1, y=2z and z=2?

A.108
B.126
C.36
D.300



Text Answer


Z=2, y=2 x 2= 4, x= 4-1 = 3

Substitute these values in the given expression

𝑥²(𝑦²−𝑧²)= 3²(4²−2²)

= 9(16-4)

= 9 x 12

= 108

The correct answer is A (108).

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