What is factor 64x^3-125y^3 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 64x^3-125y^3

factor

64 x^{3} - 125 y^{3}

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

Solution steps

64 x^{3} - 125 y^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

(\frac{2}{x})^{2}

(\frac{- 2 d ^{11} f ^{5}}{4 d ^{- 2} f ^{2}})^{2}

16 a^{2} - 121 b^{2}

(x - 2) (x + 3) > 0

23 < 5 (5) - 2

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