Question

factorise x²-16



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Answer 1

$\huge\rm\blue{answer~~~↓}$

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$\large\bf{{\underline{To~factorise}}:}$

$\sf {x}^{2} - 16 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bf \underline{Identity}: {a}^{2} - {b}^{2} = (a + b)(a - b) \\ \sf \implies {(x)}^{2} - {(4)}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf \implies (x + 4)(x - 4) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bf \therefore The \: factors \: are : \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf \blue{\underline{\boxed{ \bf x + 4}}} \: \: \: and \: \: \: \blue{\underline{\boxed{ \bf x - 4 }}}$

Answer 2

Verified by answer 1.

Hope you understand.

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