What is factor b^3-125a^3 ?

The solution to factor b^3-125a^3 is (b-5a)(b^2+5ba+25a^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor b^3-125a^3

factor

b^{3} - 125 a^{3}

(b - 5 a) (b^{2} + 5 ba + 25 a^{2})

Solution steps

b^{3} - 125 a^{3}

Apply exponent rules

= b^{3} - (5 a)^{3}

Apply Difference of Cubes Formula:

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

b^{3} - (5 a)^{3} = (b - 5 a) (b^{2} + b \cdot 5 a + (5 a)^{2})

= (b - 5 a) (b^{2} + b \cdot 5 a + (5 a)^{2})

Simplify

b^{2} + b \cdot 5 a + (5 a)^{2} : b^{2} + 5 ba + 25 a^{2}

= (b - 5 a) (b^{2} + 5 ba + 25 a^{2})

(3 x + 9 y)^{2}

\frac{1}{4} \cdot m \cdot v_{o}^{2}

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

\frac{( 16 y ^{2} + 48 y )}{( 16 y )}

22 \cdot x^{3} - 33 \cdot y^{3}

What is factor b^3-125a^3 ?
The solution to factor b^3-125a^3 is (b-5a)(b^2+5ba+25a^2)