What is factor 5(x+y)^2-7(x+y)-6 ?

The solution to factor 5(x+y)^2-7(x+y)-6 is (5(x+y)+3)(x+y-2)

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factor 5(x+y)^2-7(x+y)-6

factor

5 (x + y)^{2} - 7 (x + y) - 6

(5 (x + y) + 3) (x + y - 2)

Solution steps

5 (x + y)^{2} - 7 (x + y) - 6

Break the expression into groups

= (5 (x + y)^{2} + 3 (x + y)) + (- 10 (x + y) - 6)

Factor out

(x + y)

from

5 (x + y)^{2} + 3 (x + y) : (x + y) (5 (x + y) + 3)

Factor out

- 2

from

- 10 (x + y) - 6 : - 2 (5 (x + y) + 3)

= (x + y) (5 (x + y) + 3) - 2 (5 (x + y) + 3)

Factor out common term

5 (x + y) + 3

= (5 (x + y) + 3) ((x + y) - 2)

Refine

= (x + y - 2) (5 (x + y) + 3)

a x + a y + 7 x + 7 y

5.3

2 x^{2} - 2 b x + a x - ab

Θ (3 n^{2})

e^{(3 x + 2 y)}

What is factor 5(x+y)^2-7(x+y)-6 ?
The solution to factor 5(x+y)^2-7(x+y)-6 is (5(x+y)+3)(x+y-2)