What is factor 216x^3+125y^3 ?

The solution to factor 216x^3+125y^3 is (6x+5y)(36x^2-30xy+25y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 216x^3+125y^3

factor

216 x^{3} + 125 y^{3}

(6 x + 5 y) (36 x^{2} - 30 x y + 25 y^{2})

Solution steps

216 x^{3} + 125 y^{3}

Apply exponent rules

= (6 x)^{3} + (5 y)^{3}

Apply Sum of Cubes Formula:

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

(6 x)^{3} + (5 y)^{3} = (6 x + 5 y) ((6 x)^{2} - 6 x \cdot 5 y + (5 y)^{2})

= (6 x + 5 y) ((6 x)^{2} - 6 x \cdot 5 y + (5 y)^{2})

Simplify

(6 x)^{2} - 6 x \cdot 5 y + (5 y)^{2} : 36 x^{2} - 30 x y + 25 y^{2}

= (6 x + 5 y) (36 x^{2} - 30 x y + 25 y^{2})

\frac{2 x - 1}{x + 1} = 3

2 x^{2} + 4 x + 3 \geq x^{2} - 2 x - 5

(\frac{1}{4 x ^{\frac{2}{3}}})^{2}

- x^{3} + 27 x - 54

What is factor 216x^3+125y^3 ?
The solution to factor 216x^3+125y^3 is (6x+5y)(36x^2-30xy+25y^2)