What is (a+b)^3-8b^3 ?

The solution to (a+b)^3-8b^3 is a^3+3a^2b+3ab^2-7b^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (a+b)^3-8b^3

simplify

(a + b)^{3} - 8 b^{3}

a^{3} + 3 a^{2} b + 3 a b^{2} - 7 b^{3}

Solution steps

(a + b)^{3} - 8 b^{3}

Expand

(a + b)^{3} : a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

= a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3} - 8 b^{3}

Add similar elements:

b^{3} - 8 b^{3} = - 7 b^{3}

= a^{3} + 3 a^{2} b + 3 a b^{2} - 7 b^{3}

(1 - sin (x))^{4}

3 x - 15 x + 5

(4 x^{2} - 6)^{4}

[\frac{1}{( x - 1 ) ^{- 1}} - \frac{\frac{1}{1}}{( x - 2 ) ^{- 2}}]^{2}

(e^{x})^{2} - 4 x y