What is factor y^3-64a^3b^3 ?

The solution to factor y^3-64a^3b^3 is (y-4ab)(y^2+4aby+16a^2b^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

factor

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

(y - 4 ab) (y^{2} + 4 ab y + 16 a^{2} b^{2})

Solution steps

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

Rewrite

64 a^{3} b^{3}

(2^{2} ab)^{3}

= y^{3} - (2^{2} ab)^{3}

Apply Difference of Cubes Formula:

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

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

= (y - 2^{2} ab) (y^{2} + y 2^{2} ab + (2^{2} ab)^{2})

Simplify

(y - 2^{2} ab) (y^{2} + y \cdot 2^{2} ab + (2^{2} ab)^{2}) : (y - 4 ab) (y^{2} + 4 ab y + 16 a^{2} b^{2})

= (y - 4 ab) (y^{2} + 4 ab y + 16 a^{2} b^{2})

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

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

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

(cos (5 x))^{2}

p^{2} - 2 pq + p r - 2 q r

What is factor y^3-64a^3b^3 ?
The solution to factor y^3-64a^3b^3 is (y-4ab)(y^2+4aby+16a^2b^2)