Question

factorise 2x^2-x-15​

Answer 1

$\huge\tt{Answer:-}$

$\bf{To \ Factories:-}$

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

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

$= 2{x}^{2} - ( 6 - 5 )x - 15$

(∴ 30 = 6 × 5 by prime factorisation; After subtracting them, we get 1.)

$= 2{x}^{2} - 6x + 5x - 15$

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

$\boxed{= (2x + 5) (x - 3) }$ $...(Ans.)$

Answer 2

$\bigstar\: \tt \blue{Factories : } \\ \implies \sf{ {2x}^{2} - x - 15} \\ \implies \sf{ {2x}^{2} - 6x + 5x - 15 } \\ \implies \sf{2x(x - 3) + 5(x - 3)} \\ \implies \tt \green{(2x + 5)( x - 3)}$