What is factor (x+y)^2+2(x+y)+1 ?

The solution to factor (x+y)^2+2(x+y)+1 is (x+y+1)^2

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factor (x+y)^2+2(x+y)+1

factor

(x + y)^{2} + 2 (x + y) + 1

(x + y + 1)^{2}

Solution steps

(x + y)^{2} + 2 (x + y) + 1

Rewrite

(x + y)^{2} + 2 (x + y) + 1

(x + y)^{2} + 2 (x + y) \cdot 1 + 1^{2}

= (x + y)^{2} + 2 (x + y) \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

a = (x + y), b = 1

= ((x + y) + 1)^{2}

Refine

= (x + y + 1)^{2}

\cdot (- 8)

- 23 z^{7} + (- 3 a)

1680

\frac{x ^{3}}{64} - y^{6}

[4.7]

What is factor (x+y)^2+2(x+y)+1 ?
The solution to factor (x+y)^2+2(x+y)+1 is (x+y+1)^2