What is factor (x+y)^2-10(x+y)+25 ?

The solution to factor (x+y)^2-10(x+y)+25 is (x+y-5)^2

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factor (x+y)^2-10(x+y)+25

factor

(x + y)^{2} - 10 (x + y) + 25

(x + y - 5)^{2}

Solution steps

(x + y)^{2} - 10 (x + y) + 25

Rewrite

(x + y)^{2} - 10 (x + y) + 25

(x + y)^{2} - 2 (x + y) \cdot 5 + 5^{2}

= (x + y)^{2} - 2 (x + y) \cdot 5 + 5^{2}

Apply Perfect Square Formula:

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

a = (x + y), b = 5

= ((x + y) - 5)^{2}

Refine

= (x + y - 5)^{2}

8 a^{6} b^{3} + 125 c^{3}

(x + 5) (x + 5)

a m^{2} + b m^{2} + a n^{2} + b n^{2}

\frac{x - 1}{x - 1}

4^{2} - 9

What is factor (x+y)^2-10(x+y)+25 ?
The solution to factor (x+y)^2-10(x+y)+25 is (x+y-5)^2