Factorise 2x2 - 3x - 90- Maths - Q-A

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Standard VII

Mathematics

(a+b)(a-b) Expansion and Visualisation

Factorise 2x<...

Question

Factorise: $2 x^{2} + 3 x - 90$

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Solution

Factorization
The given expression is,
$2 x^{2} + 3 x - 90 = 2 x^{2} + 15 x - 12 x - 90$
$= x (2 x + 15) - 6 (2 x + 15)$
$= (2 x + 15) (x - 6)$
Hence, the result of factorization of the given expression is $(2 x + 15) (x - 6)$ .

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Factorise: 2x2+3x-90

FactorizationThe given expression is,2x2+3x-90=2x2+15x–12x–90 =x(2x+15)–6(2x+15) =(2x+15)(x–6)Hence, the result of factorization of the given expression is (2x+15)(x–6).

Factorise: $2 x^{2} + 3 x - 90$

Factorization
The given expression is,
$2 x^{2} + 3 x - 90 = 2 x^{2} + 15 x - 12 x - 90$
$= x (2 x + 15) - 6 (2 x + 15)$
$= (2 x + 15) (x - 6)$
Hence, the result of factorization of the given expression is $(2 x + 15) (x - 6)$ .