Question

All of the following are perfect square trinomials. except one.which is it?
A. x²-4xy+4y² C. 4x²-12xy+9y²
B. 9a²+24a-16 D.x²y²-6x³y²+9x⁴y²​

Answer 1

as we know that, trinomials is the square of binomial that's why

the given example D does not complete the above condition

∴ answer is D

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

All of the following are perfect square trinomials. except one.which is it

A. x² - 4xy + 4y²

B. 9a² + 24a - 16

C. 4x² - 12xy + 9y²

D. x²y² - 6x³y² + 9x⁴y²

EVALUATION

CHECKING FOR OPTION : A

x² - 4xy + 4y²

= x² - 2.x.2y + (2y)²

= ( x - 2y )²

Which is a perfect square

CHECKING FOR OPTION : B

9a² + 24a - 16

= (3a)² + 2 × 3a × 4 - 16

Which is not a perfect square

CHECKING FOR OPTION : C

4x² - 12xy + 9y²

= (2x)² - 2.2x.3y + (3y)²

= (2x - 3y)²

CHECKING FOR OPTION : D

x²y² - 6x³y² + 9x⁴y²

= x²y² ( 1 - 6x + 9x² )

= x²y² ( 1 - 3x)²

Which is a perfect square

FINAL ANSWER

Hence the correct option is

B. 9a² + 24a - 16

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