What is factor 12(x+y)^2+8(x+y)-15 ?

The solution to factor 12(x+y)^2+8(x+y)-15 is (6(x+y)-5)(2(x+y)+3)

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factor 12(x+y)^2+8(x+y)-15

factor

12 (x + y)^{2} + 8 (x + y) - 15

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

Solution steps

12 (x + y)^{2} + 8 (x + y) - 15

Break the expression into groups

= (12 (x + y)^{2} - 10 (x + y)) + (18 (x + y) - 15)

Factor out

2 (x + y)

from

12 (x + y)^{2} - 10 (x + y) : 2 (x + y) (6 (x + y) - 5)

Factor out

3

from

18 (x + y) - 15 : 3 (6 (x + y) - 5)

= 2 (x + y) (6 (x + y) - 5) + 3 (6 (x + y) - 5)

Factor out common term

6 (x + y) - 5

= (6 (x + y) - 5) (2 (x + y) + 3)

(- 6) e^{15}

5 b (x + 7) + x + 5 + 2

cos (a^{7} + x^{7})

f (x) 250 sin (60 π t)

7 + (b + c)

What is factor 12(x+y)^2+8(x+y)-15 ?
The solution to factor 12(x+y)^2+8(x+y)-15 is (6(x+y)-5)(2(x+y)+3)