What is factor 1+(x+y)^3 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 1+(x+y)^3

factor

1 + (x + y)^{3}

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

Solution steps

1 + (x + y)^{3}

Rewrite

1

1^{3}

= (x + y)^{3} + 1^{3}

Apply Sum of Cubes Formula:

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

(x + y)^{3} + 1^{3} = ((x + y) + 1) ((x + y)^{2} - (x + y) + 1)

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

Refine

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

(f - 3)^{2} - 2 (f - 3) - 3

a x + b x + c x + a y + b y + cy

4 a x - 9 b + 3 a - 12 b x

+ a x - b x + b - a - b y + a y

\frac{- 25 + 5 51}{2}

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