Question

5√5x²+33x+8√5 please factorise it by mid term splitting

Answer 1

$we \: have \: \\ 5 \sqrt{5} {x}^{2} + 33x + 8 \sqrt{5} \\ = > 5 \sqrt{5} {x}^{2} + 25x + 8x + 8 \sqrt{5} \\ = > 5 \sqrt{5} x( x + \sqrt{5} ) + 8(x + \sqrt{5} ) \\ = >( 5 \sqrt{5} x + 8) (x + \sqrt{5} ) \\ = > x = - \frac{8}{5 \sqrt{5} } and \: x = - \sqrt{5}$

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Answer 2

multiply

$5 \sqrt{5 } \times 8 \sqrt[2]{5}$

we get

200

factorise it

2×5×2×2×5

so

25 + 8= 33

so

5root5x^2 + 25x + 8x +8root5

now rearrange

ans

5root5x ( x+root5) + 8 (x+root5)

(5x+8)(root5+x)

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