What is factor (x^2-5)^3-64y^3 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x^2-5)^3-64y^3

factor

(x^{2} - 5)^{3} - 64 y^{3}

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

Solution steps

(x^{2} - 5)^{3} - 64 y^{3}

Rewrite

(x^{2} - 5)^{3} - 64 y^{3}

(x^{2} - 5)^{3} - (4 y)^{3}

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

Apply Difference of Cubes Formula:

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

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

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

Refine

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

tan (2 a + 2 b)

(ln (cos (x)))^{2}

20 \cdot 20 \cdot 8

z x + w x + zy + w y

(ln (x))^{3} + C

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