Which is equivalent to (4 x y minus 3 z) squared, and what type of special product is it? 16 x squared y squared 9 z squared, the difference of squares 16 x squared y squared 9 z squared, a perfect square trinomial 16 x squared y squared minus 24 x y z 9 z squared, the difference of squares 16 x squared y squared minus 24 x y z 9 z squared, a perfect square trinomial

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adioabiola adioabiola · Answer 1 · 2021-10-18T11:11:49+02:00

We are required to find an equivalent expression for (4 x y minus 3 z) squared

(4 x y minus 3 z) squared is equivalent to 16 x squared y squared minus 24 x y z 9 z squared, the difference of squares

16 x squared y squared 9 z squared, the difference of squares = 16x²y² + 9z²

16 x squared y squared 9 z squared, a perfect square trinomial = 16x²y² + 9z²

16 x squared y squared minus 24 x y z 9 z squared, the difference of squares = 16x²y² - 24xyz + 9z²

16 x squared y squared minus 24 x y z 9 z squared, a perfect square trinomial = 16x²y² - 24xyz + 9z²

Given:

(4 x y minus 3 z) squared

= (4xy - 3z)²

= (4xy - 3z) (4xy - 3z)

= 16x²y² - 12xyz - 12xyz + 9z²

= 16x²y² - 24xyz + 9z²

Therefore, (4 x y minus 3 z) squared is equivalent to 16 x squared y squared minus 24 x y z 9 z squared, the difference of squares