What is factor (x+y)^2+8(x+y)+16 ?

The solution to factor (x+y)^2+8(x+y)+16 is (x+y+4)^2

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factor (x+y)^2+8(x+y)+16

factor

(x + y)^{2} + 8 (x + y) + 16

(x + y + 4)^{2}

Solution steps

(x + y)^{2} + 8 (x + y) + 16

Rewrite

(x + y)^{2} + 8 (x + y) + 16

(x + y)^{2} + 2 (x + y) \cdot 4 + 4^{2}

= (x + y)^{2} + 2 (x + y) \cdot 4 + 4^{2}

Apply Perfect Square Formula:

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

a = (x + y), b = 4

= ((x + y) + 4)^{2}

Refine

= (x + y + 4)^{2}

(ab) 4

\frac{x - 8}{x ^{2} - 64}

(tan (y))^{2}

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

e^{4} + e^{5}

What is factor (x+y)^2+8(x+y)+16 ?
The solution to factor (x+y)^2+8(x+y)+16 is (x+y+4)^2