What is factor (x-y)^2+6(x-y)+5 ?

The solution to factor (x-y)^2+6(x-y)+5 is (x-y+1)(x-y+5)

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factor (x-y)^2+6(x-y)+5

factor

(x - y)^{2} + 6 (x - y) + 5

(x - y + 1) (x - y + 5)

Solution steps

(x - y)^{2} + 6 (x - y) + 5

Break the expression into groups

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

Factor out

(x - y)

from

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

Factor out

5

from

5 (x - y) + 5 : 5 ((x - y) + 1)

= (x - y) ((x - y) + 1) + 5 ((x - y) + 1)

Factor out common term

(x - y) + 1

= ((x - y) + 1) ((x - y) + 5)

Refine

= (x + 1 - y) (x + 5 - y)

ln (e^{3} - e^{2})

(x + 3) 2 - 4 (x + 3)

(x)^{7}

3 x^{2} + 2 a x + (a^{2} - 6)

(cos (x))^{3}

What is factor (x-y)^2+6(x-y)+5 ?
The solution to factor (x-y)^2+6(x-y)+5 is (x-y+1)(x-y+5)