Question

factorise by splitting method 5 root 5 x + 30 x + 8 root 5​

Answer 1

Answer:

$( \sqrt{5} x + 2)(5x + 4 \sqrt{5} )$

Step-by-step explanation:

$5 \sqrt{5} {x}^{2} + 30x + 8 \sqrt{5} \\ \\ = 5 \sqrt{5} {x}^{2} + 10x + 20x + 8 \sqrt{5} \\ \\ = 5x( \sqrt{5} x + 2) + 4 \sqrt{5} ( \sqrt{5} x + 2) \\ \\ = ( \sqrt{5} x + 2)(5x + 4 \sqrt{5} )$

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