Question

Factorise ײ-36 step by step

Answer 1

Factorise :- $\bf\red{{x}^{2} - 36}$

$\maltese$ Use the sum-product pattern ;

$\implies \rm {x}^{2}- 36$

$\implies \rm {x}^{2} + 6x - 6x - 36$

$\maltese$ Common factors from both two pairs ;

$\implies \rm {x}^{2} + 6x - 6x - 36$

$\implies \rm x( x + 6) - 6( x + 6)$

$\maltese$ Rewrite in factored form ;

$\implies\rm x( x + 6) - 6(x + 6)$

$\therefore \rm\blue {(x - 6) ( x + 6) }$

So, the [ AnsweR ] :- $\bf\blue{ (x - 6) (x + 6)}$

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$\large\fbox \red {Hope \: it \: helps \: you}$