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)

(- 4.9) y^{8.5}

x^{2} - 5 x + 6.25

(a + b + c) (ab + a c + b c) - ab c

e^{4} - e^{2}

64 - 27 y^{6}

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)