Question

please factorise this

Answer 1

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$\huge\mathfrak{Solution :}$

$\large\mathsf\blue{Given \ :-}$

$\mathsf\red{p^4 - (p + q)^4}$

$\large\mathsf\green{On \ solving \ further}$

$\mathsf{= \ (p^2)^2 - [(p + q)^2]^2}$

$\large\mathsf\red{Using \ Identity}$

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

$\large\mathsf{Here, \ a \ = \ p^2 \ and \ b \ = \ (p + q)^2}$

$\mathsf{= \ [p^2 + (p + q)^2] [p^2 - (p + q)^2]}$

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