What is factor 2(x+y)^2-9(x+y)-5 ?

The solution to factor 2(x+y)^2-9(x+y)-5 is (2(x+y)+1)(x+y-5)

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factor 2(x+y)^2-9(x+y)-5

factor

2 (x + y)^{2} - 9 (x + y) - 5

(2 (x + y) + 1) (x + y - 5)

Solution steps

2 (x + y)^{2} - 9 (x + y) - 5

Break the expression into groups

= (2 (x + y)^{2} + (x + y)) + (- 10 (x + y) - 5)

Factor out

(x + y)

from

2 (x + y)^{2} + (x + y) : (x + y) (2 (x + y) + 1)

Factor out

- 5

from

- 10 (x + y) - 5 : - 5 (2 (x + y) + 1)

= (x + y) (2 (x + y) + 1) - 5 (2 (x + y) + 1)

Factor out common term

2 (x + y) + 1

= (2 (x + y) + 1) ((x + y) - 5)

Refine

= (x + y - 5) (2 (x + y) + 1)

f^{2} - 3 f - 4

∣ x + 6 ∣ \leq 0

- 320 - 5

5 n^{2} - 14 n + 6 = 0

3 (10 x - 2) = 8

What is factor 2(x+y)^2-9(x+y)-5 ?
The solution to factor 2(x+y)^2-9(x+y)-5 is (2(x+y)+1)(x+y-5)