What is factor (a+b+2)^2+11a+11b+40 ?

The solution to factor (a+b+2)^2+11a+11b+40 is a^2+2ab+15a+b^2+15b+44

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factor (a+b+2)^2+11a+11b+40

factor

(a + b + 2)^{2} + 11 a + 11 b + 40

a^{2} + 2 ab + 15 a + b^{2} + 15 b + 44

Solution steps

(a + b + 2)^{2} + 11 a + 11 b + 40

(a + b + 2)^{2} = (a + b + 2) (a + b + 2)

= (a + b + 2) (a + b + 2) + 11 a + 11 b + 40

Expand

(a + b + 2) (a + b + 2) : 2 ab + a^{2} + 4 a + b^{2} + 4 b + 4

= 2 ab + a^{2} + 4 a + b^{2} + 4 b + 4 + 11 a + 11 b + 40

Simplify

2 ab + a^{2} + 4 a + b^{2} + 4 b + 4 + 11 a + 11 b + 40 : a^{2} + 2 ab + 15 a + b^{2} + 15 b + 44

= a^{2} + 2 ab + 15 a + b^{2} + 15 b + 44

[0.6]

6 a x + 9 a y + 4 b x + 6 b y

y + 3 a x y + 3 a x z + z

4 x + (- 3)

6.3

What is factor (a+b+2)^2+11a+11b+40 ?
The solution to factor (a+b+2)^2+11a+11b+40 is a^2+2ab+15a+b^2+15b+44