What is factor (x+y)^2+4(x+y)+4 ?

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

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factor (x+y)^2+4(x+y)+4

factor

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

(x + y + 2)^{2}

Solution steps

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

Rewrite

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

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

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

Apply Perfect Square Formula:

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

a = (x + y), b = 2

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

Refine

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

(x + Δ x)^{3} - x^{3}

2 (x cos (ln (x)))

2^{2 x} - 2^{x + 1} + 1

4 wt + 2 w h + 6 i t + 3 ih

4 sin (3 x - 21)

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