What is factor+64x^3-125 ?

The solution to factor+64x^3-125 is (4x-5)(16x^2+20x+25)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor+64x^3-125

factor

+ 64 x^{3} - 125

(4 x - 5) (16 x^{2} + 20 x + 25)

Solution steps

64 x^{3} - 125

Apply exponent rules

= (4 x)^{3} - 5^{3}

Apply Difference of Cubes Formula:

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

(4 x)^{3} - 5^{3} = (4 x - 5) (4^{2} x^{2} + 5 \cdot 4 x + 5^{2})

= (4 x - 5) (4^{2} x^{2} + 5 \cdot 4 x + 5^{2})

Simplify

(4 x - 5) (4^{2} x^{2} + 5 \cdot 4 x + 5^{2}) : (4 x - 5) (16 x^{2} + 20 x + 25)

= (4 x - 5) (16 x^{2} + 20 x + 25)

125 - v^{3}

(3 i^{5})^{2}

\frac{6 x}{x ^{2} - 8 x} + \frac{4}{2 x - 16}

\frac{1}{2} x \times x

\frac{\frac{x - 3}{3 x + 4}}{\frac{2 x - 3}{3 x + 4}}

What is factor+64x^3-125 ?
The solution to factor+64x^3-125 is (4x-5)(16x^2+20x+25)