Question

factorise 63x^2y^2-7 ​

Answer 1

SOLUTION

TO FACTORISE

$\sf{63 {x}^{2} {y}^{2} - 7 }$

FORMULA TO BE IMPLEMENTED

We are aware of the identity that

$\sf{ {x}^{2} - {y}^{2} = (x + y)(x - y)}$

EVALUATION

$\sf{63 {x}^{2} {y}^{2} - 7 }$

$\sf{ = 7(9 {x}^{2} {y}^{2} - 1) }$

$\sf{ = 7 \bigg[ {(3xy)}^{2} - {(1)}^{2} \bigg] }$

$\sf{ = 7 (3xy + 1)(3xy -1 )}$

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