en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 125a^3+8a^3

Solution

factor

125 a^{3} + 8 a^{3}

Solution

133 a^{3}

Solution steps

125 a^{3} + 8 a^{3}

Rewrite

125 a^{3}

as

(5 a)^{3}

Rewrite

8 a^{3}

as

(2 a)^{3}

= (5 a)^{3} + (2 a)^{3}

Apply Sum of Cubes Formula:

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

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

= (5 a + 2 a) ((5 a)^{2} - 5 a 2 a + (2 a)^{2})

Simplify

(5 a + 2 a) ((5 a)^{2} - 5 a \cdot 2 a + (2 a)^{2}) : 133 a^{3}

= 133 a^{3}

Popular Examples

factor y^3-64a^3b^3 factor

y^{3} - 64 a^{3} b^{3}

factor x^2-11x+(-28)factor

x^{2} - 11 x + (- 28)

factor ((2+h)^3-8)/h factor

\frac{( 2 + h ) ^{3} - 8}{h}

factor mn+pn+mp+m^2 factor

mn + p n + m p + m^{2}

(cos (5 x))^{2}

Frequently Asked Questions (FAQ)

What is factor 125a^3+8a^3 ?
The solution to factor 125a^3+8a^3 is 133a^3