Answer:

x−5

2x

2

−9x−5

1 Split the second term in 2{x}^{2}-9x-52x

2

−9x−5 into two terms.

x-5\sqrt{2{x}^{2}+x-10x-5}

x−5

2x

2

+x−10x−5

2 Factor out common terms in the first two terms, then in the last two terms.

x-5\sqrt{x(2x+1)-5(2x+1)}

x−5

x(2x+1)−5(2x+1)

3 Factor out the common term 2x+12x+1.

x-5\sqrt{(2x+1)(x-5)}

x−5

(2x+1)(x−5)

x−5

(2x+1)(x−5) the answer

Step-by-step explanation:

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