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

x^{2} - 5 \cdot (- 4)

10 x - 5 x

\frac{d}{d x} (sin (x^{2} + y^{2}))

2 x^{3} + (- 1)

(x + 5)^{2} + 4 (x + 5) + 3

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)