Question

9 x square y square - 16​

Answer 1

Step-by-step explanation:

SOLUTION

TO FACTORISE

\sf{9 {x}^{2} {y}^{2} - 16}9x

2

y

2

−16

FORMULA TO BE IMPLEMENTED

We are aware of the identity that

\sf{ {a}^{2} - {b}^{2} = (a + b)(a - b)}a

2

−b

2

=(a+b)(a−b)

EVALUATION

\sf{9 {x}^{2} {y}^{2} - 16}9x

2

y

2

−16

\sf{ = {(3xy)}^{2} - {(4)}^{2} }=(3xy)

2

−(4)

2

\sf{ = (3xy + 4)(3xy - 4)} \: \: \: \: \: \: (using \: above \: identity \: )=(3xy+4)(3xy−4)(usingaboveidentity)

FINAL ANSWER

\boxed{ \: \sf{9 {x}^{2} {y}^{2} - 16} = (3xy + 4)(3xy - 4) \: }

9x

2

y

2

−16=(3xy+4)(3xy−4)

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