What is factor (5x+y)^2+(5x+y)-42 ?

The solution to factor (5x+y)^2+(5x+y)-42 is (5x+y-6)(5x+y+7)

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factor (5x+y)^2+(5x+y)-42

factor

(5 x + y)^{2} + (5 x + y) - 42

(5 x + y - 6) (5 x + y + 7)

Solution steps

(5 x + y)^{2} + (5 x + y) - 42

Break the expression into groups

= ((5 x + y)^{2} - 6 (5 x + y)) + (7 (5 x + y) - 42)

Factor out

(5 x + y)

from

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

Factor out

7

from

7 (5 x + y) - 42 : 7 ((5 x + y) - 6)

= (5 x + y) ((5 x + y) - 6) + 7 ((5 x + y) - 6)

Factor out common term

(5 x + y) - 6

= ((5 x + y) - 6) ((5 x + y) + 7)

Refine

= (5 x + y - 6) (5 x + y + 7)

t^{2} - 1.4 t + 0.49

(m - 3)^{3} + (j - k)^{3}

x^{2} + 11 - 36

e^{2 x} \frac{d y}{d x} + e^{2 x} 2 y

5 z + (y - x)

What is factor (5x+y)^2+(5x+y)-42 ?
The solution to factor (5x+y)^2+(5x+y)-42 is (5x+y-6)(5x+y+7)