What is factor (x-y)^2+4(x-y)+3 ?

The solution to factor (x-y)^2+4(x-y)+3 is (x-y+1)(x-y+3)

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factor (x-y)^2+4(x-y)+3

factor

(x - y)^{2} + 4 (x - y) + 3

(x - y + 1) (x - y + 3)

Solution steps

(x - y)^{2} + 4 (x - y) + 3

Break the expression into groups

= ((x - y)^{2} + (x - y)) + (3 (x - y) + 3)

Factor out

(x - y)

from

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

Factor out

3

from

3 (x - y) + 3 : 3 ((x - y) + 1)

= (x - y) ((x - y) + 1) + 3 ((x - y) + 1)

Factor out common term

(x - y) + 1

= ((x - y) + 1) ((x - y) + 3)

Refine

= (x + 1 - y) (x + 3 - y)

∣ 8 x + 4 ∣ < 28

\frac{a + 1}{a ^{2} - a} - \frac{a + 2}{2 a ^{2} - 2}

- 5 x + 8 \leq 23

\frac{y ^{\frac{2}{7}}}{y ^{\frac{2}{3}}}

\frac{r}{5} > 2

What is factor (x-y)^2+4(x-y)+3 ?
The solution to factor (x-y)^2+4(x-y)+3 is (x-y+1)(x-y+3)