What is factor 125q^3-w^3 ?

The solution to factor 125q^3-w^3 is (5q-w)(25q^2+5qw+w^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 125q^3-w^3

factor

125 q^{3} - w^{3}

(5 q - w) (25 q^{2} + 5 qw + w^{2})

Solution steps

125 q^{3} - w^{3}

Apply exponent rules

= (5 q)^{3} - w^{3}

Apply Difference of Cubes Formula:

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

(5 q)^{3} - w^{3} = (5 q - w) ((5 q)^{2} + 5 qw + w^{2})

= (5 q - w) ((5 q)^{2} + 5 qw + w^{2})

Simplify

(5 q)^{2} + 5 qw + w^{2} : 25 q^{2} + 5 qw + w^{2}

= (5 q - w) (25 q^{2} + 5 qw + w^{2})

a^{2} - 2 a - 8

27 x^{3} - 1

8 \cdot 7

\frac{( 6 y + 7 )}{4} + \frac{( 8 - 5 y )}{3} = 5

\frac{2}{3} + 6

What is factor 125q^3-w^3 ?
The solution to factor 125q^3-w^3 is (5q-w)(25q^2+5qw+w^2)