Question

Factorise =√5x²+2x-3√5.Please help me.I cant solve this.

Answer 1

please find the attachment

Answer 2

$\textbf{\underline{Answer :}}$

Now,

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

which is the required factorization.

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