Question

Factarise:
49x² - 36÷
(7x-6)​

Answer 1

$\huge \star \; \bf \underbrace {ANSWER} \: \star$

‣ Given :

$\sf {49x^{2} - 36 ÷ (7x - 6)}$

‣ To Do :

$\sf {Factorise}$

‣ Solution :

$\rightarrow \sf {49x^{2} - 36 ÷ (7x - 6)}$

$\sf {= \frac{49x² - 36}{7x - 6}}$

$\sf {= \frac{[(7x)² - (6)²]}{(7x - 6)}}$

$\sf {= \frac{(7x + 6) (7x - 6)}{(7x - 6)}} \: \: \: \: \: \: \: \: [ \therefore \sf {(a² - b²) = (a + b) (a - b)}]$

$\sf {= (7x + 6)}$

$: \implies \textsf {\underline {\underline {Hence, the answer is (7x - 6).}}}$

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