Factorise- 4- 3 x 2 -5x-2- 3

The given expression #160; 4√( 3 ) x^ 2 +5x 2√( 3 ) #160;can be factorised as follows: 4√( 3 ) x^ 2 +5x 2√( 3 ) =4√( 3 ) x^ 2 +8x 3x 2√( 3 ) =4x(√( ...

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Standard VIII

Mathematics

Factorisation Using Algebraic Identities

Factorise: ...

Question

Factorise: $4 \sqrt{3} x^{2} + 5 x - 2 \sqrt{3}$

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Solution

The given expression $4 \sqrt{3} x^{2} + 5 x - 2 \sqrt{3}$ can be factorised as follows:

$4 \sqrt{3} x^{2} + 5 x - 2 \sqrt{3} = 4 \sqrt{3} x^{2} + 8 x - 3 x - 2 \sqrt{3} = 4 x (\sqrt{3} x + 2) - \sqrt{3} (\sqrt{3} x + 2) = (\sqrt{3} x + 2) (4 x - \sqrt{3})$

Hence, $4 \sqrt{3} x^{2} + 5 x - 2 \sqrt{3} = (\sqrt{3} x + 2) (4 x - \sqrt{3})$

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I did not understood the question how to factorise

4√3x²+5x-2√3

( √ is the sign of under root)

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Factorise: 4√3x2+5x−2√3

The given expression 4√3x2+5x−2√3 can be factorised as follows:4√3x2+5x−2√3=4√3x2+8x−3x−2√3=4x(√3x+2)−√3(√3x+2)=(√3x+2)(4x−√3)Hence, 4√3x2+5x−2√3=(√3x+2)(4x−√3)

Factorise: $4 \sqrt{3} x^{2} + 5 x - 2 \sqrt{3}$