Factorise- - 5 x 2 -2x-3- 5

The given expression #160; √( 5 ) x^ 2 +2x 3√( 5 ) #160;can be factorised as follows: √( 5 ) x^ 2 +2x 3√( 5 ) =√( 5 ) x^ 2 +5x 3x 3√( 5 ) =√( 5 ) x ...

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Standard VIII

Mathematics

Factorisation Using Algebraic Identities

Factorise: ...

Question

Factorise: $\sqrt{5} x^{2} + 2 x - 3 \sqrt{5}$

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Solution

The given expression $\sqrt{5} x^{2} + 2 x - 3 \sqrt{5}$ can be factorised as follows:

$\sqrt{5} x^{2} + 2 x - 3 \sqrt{5} = \sqrt{5} x^{2} + 5 x - 3 x - 3 \sqrt{5} = \sqrt{5} x (x + \sqrt{5}) - 3 (x + \sqrt{5}) = (x + \sqrt{5}) (\sqrt{5} x - 3)$

Hence, $\sqrt{5} x^{2} + 2 x - 3 \sqrt{5} = (x + \sqrt{5}) (\sqrt{5} x - 3)$

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Similar questions

Q. Solve the given quadratic equation by factorisation method,

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Factorise: √5x2+2x−3√5

The given expression √5x2+2x−3√5 can be factorised as follows:√5x2+2x−3√5=√5x2+5x−3x−3√5=√5x(x+√5)−3(x+√5)=(x+√5)(√5x−3)Hence, √5x2+2x−3√5=(x+√5)(√5x−3)

Factorise: $\sqrt{5} x^{2} + 2 x - 3 \sqrt{5}$