What is factor (x+y)^2-7(x+y)+10 ?

The solution to factor (x+y)^2-7(x+y)+10 is (x+y-2)(x+y-5)

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factor (x+y)^2-7(x+y)+10

factor

(x + y)^{2} - 7 (x + y) + 10

(x + y - 2) (x + y - 5)

Solution steps

(x + y)^{2} - 7 (x + y) + 10

Break the expression into groups

= ((x + y)^{2} - 2 (x + y)) + (- 5 (x + y) + 10)

Factor out

(x + y)

from

(x + y)^{2} - 2 (x + y) : (x + y) ((x + y) - 2)

Factor out

- 5

from

- 5 (x + y) + 10 : - 5 ((x + y) - 2)

= (x + y) ((x + y) - 2) - 5 ((x + y) - 2)

Factor out common term

(x + y) - 2

= ((x + y) - 2) ((x + y) - 5)

Refine

= (x + y - 2) (x + y - 5)

16 + 40 + 25

k r + kb - p r - p b

\frac{( x ^{3} - 1 )}{( x - 1 )}

2 x^{2} - 6 x^{n - 2}

\frac{1125 + 5 38473}{49}

What is factor (x+y)^2-7(x+y)+10 ?
The solution to factor (x+y)^2-7(x+y)+10 is (x+y-2)(x+y-5)