What is factor (x+y+3)^2+7(x+y+3)+10 ?

The solution to factor (x+y+3)^2+7(x+y+3)+10 is (x+y+5)(x+y+8)

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factor (x+y+3)^2+7(x+y+3)+10

factor

(x + y + 3)^{2} + 7 (x + y + 3) + 10

(x + y + 5) (x + y + 8)

Solution steps

(x + y + 3)^{2} + 7 (x + y + 3) + 10

Break the expression into groups

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

Factor out

(x + y + 3)

from

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

Factor out

5

from

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

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

Factor out common term

(x + y + 3) + 2

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

Refine

= (x + y + 5) (x + y + 8)

4 x y^{2} + 3 y d x

e^{x} sin (x) + e^{x} cos (x)

x (e)

\frac{4 x ^{2} - 6 x + 2}{2}

What is factor (x+y+3)^2+7(x+y+3)+10 ?
The solution to factor (x+y+3)^2+7(x+y+3)+10 is (x+y+5)(x+y+8)