Question

Factorise:

(a) X^2-16

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Answer 1

Answer:

here, x^2-16=0

x^2=16

x=4

Answer 2

✴ Given :-

Factorise :

- 16 + x²

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✴ To Find :-

Factorise it .

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✴ Solution :-

❒ Identity used :

$\large\blue{\bigstar{\underline{\boxed{\red{\sf{ x² - y² = \bigg( x + y\bigg)\bigg(x - y \bigg)}}}}}}$

❒ Factorising it :

$\: \: \: {:\longmapsto{\sf{ -16 + x²}}}$

$\: \: \: {:\longmapsto{\sf{ x² - 16}}}$

Squiring the both sides .

$\: \: \: {:\longmapsto{\sf{ x² - {4}^{2} }}}$

$\: \: \: {:\longmapsto{\sf{ x² - {4}^{2} = \bigg( x + 4\bigg)\bigg(x - 4\bigg)}}}$

$\large{\red{:\longmapsto}}{\underline{\boxed{\orange{\sf{\bigg( x + 4\bigg)\bigg(x - 4\bigg)}}}}}$

❒ Therefore :

❝ (x + 4) ( x - 4) is the required answer . ❞

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