Question

find the factorise x²y²-16 answer​

Answer 1

=x^2y^2-16

=x^2y^2-16=(xy)^2-(4)^2

=x^2y^2-16=(xy)^2-(4)^2Here a=xy and b=4

=x^2y^2-16=(xy)^2-(4)^2Here a=xy and b=4=(xy+4)(xy-4) reason (a^2-b^2)=(a+b)(a-b)

=x^2y^2-16=(xy)^2-(4)^2Here a=xy and b=4=(xy+4)(xy-4) reason (a^2-b^2)=(a+b)(a-b) Ans=(xy+4)(xy-4)

Answer 2

SOLUTION

TO DETERMINE

To factorise : x²y² - 16

FORMULA TO BE IMPLEMENTED

We are aware of the formula that

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

EVALUATION

Here the given expression is

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

We factorise it as below

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

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

$\sf = (xy + 4)(xy - 4)$

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