Question

factorise the following by splitting the middle term
$5 \sqrt{5x {}^{2} } + 30x + 8 \sqrt{5}$
​

Answer 1

Step-by-step explanation:

$5 \sqrt{5x { }^{2} } + 30x + \sqrt[8]{5}$

$5 \sqrt{5x {}^{2} } + 20x + 10x + \sqrt[8]{5}$

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

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

taking

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

as common

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

hence the answer is

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

hope it helps