Question

Find the product : (x^2+x-2)(x^2-x+2)

Answer 1

HEY MATE, HERE IS YOUR ANSWER:-

$( {x}^{2} + x - 2)( {x}^{2} - x + 2)$
USING ( a-b )( a+b )= a²-b²

${ ({x}^{2}) }^{2} - {(x - 2)}^{2} \\ = {x}^{4} - {(x - 2)}^{2}$
USING ( a-b )²= a² + b²- 2ab

$= {x}^{4} - ( {x}^{2} + {2}^{2} + 2 \times 2 \times x) \\ = {x}^{4} -( {x}^{2} + 4 + 4x)$
$= {x}^{4} - {x}^{2} - 4 - 4x \\ = {x}^{4} - {x}^{2} - 4x - 4$


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