What is factor (x+9)^3-y^3 ?

The solution to factor (x+9)^3-y^3 is (x+9-y)((x+9)^2+y(x+9)+y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x+9)^3-y^3

factor

(x + 9)^{3} - y^{3}

(x + 9 - y) ((x + 9)^{2} + y (x + 9) + y^{2})

Solution steps

(x + 9)^{3} - y^{3}

Apply Difference of Cubes Formula:

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

(x + 9)^{3} - y^{3} = ((x + 9) - y) ((x + 9)^{2} + (x + 9) y + y^{2})

= ((x + 9) - y) ((x + 9)^{2} + y (x + 9) + y^{2})

Refine

= (x + 9 - y) (y^{2} + y (x + 9) + (x + 9)^{2})

[(5 x + 3) + 2 y] [(5 x + 3) - 2 y]

cos^{2} (y) + 2 cos (y) + 1

12 x^{2} - 3 x 7 - 8 x y + 2 y^{7}

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

2 am - 2 an + 2 a - (m - n + 1)

What is factor (x+9)^3-y^3 ?
The solution to factor (x+9)^3-y^3 is (x+9-y)((x+9)^2+y(x+9)+y^2)