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Factorisation by Common Factors

Factorize the...

Question

Factorize the following: $8 x^{2} - 14 x + 8 x - 14$

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Solution

Simplifying $8 x^{2} - 14 x + 8 x - 14$ .

$8 x^{2} - 14 x + 8 x - 14$

$= 2 x (4 x - 7) + 2 (4 x - 7)$

$= (2 x + 2) (4 x - 7)$

$= 2 (x + 1) (4 x - 7)$

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