Simplifying #10;the equation, #10; #10; 2x^2 7x 15 #10; #10; = 2x^2 10x + 3x 15 #10; #10; = 2x( x 5 #10;) + 3( x 5) ...

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Factorisation by Common Factors

Factorize: ...

Question

Factorize: $2 x^{2} - 7 x - 15$

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Solution

Simplifying the equation,

$2 x^{2} - 7 x - 15$

$= 2 x^{2} - 10 x + 3 x - 15$

$= 2 x (x - 5) + 3 (x - 5)$

$= (2 x + 3) (x - 5)$

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