en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (5-x^2)^3

Solution

expand

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

Solution

125 - 75 x^{2} + 15 x^{4} - x^{6}

Solution steps

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

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

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

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

Simplify

5^{3} - 3 \cdot 5^{2} x^{2} + 3 \cdot 5 (x^{2})^{2} - (x^{2})^{3} : 125 - 75 x^{2} + 15 x^{4} - x^{6}

= 125 - 75 x^{2} + 15 x^{4} - x^{6}

Popular Examples

factor 8y^3+12y^2+6y+1 factor

8 y^{3} + 12 y^{2} + 6 y + 1

simplify (0.7x^3+0.7x^3-5)/(9x^3)simplify

\frac{0.7 x ^{3} + 0.7 x ^{3} - 5}{9 x ^{3}}

factor x^5+x^4-x^2-x factor

x^{5} + x^{4} - x^{2} - x

simplify (2x)^3+(3y)^3+(4z)^3-3(2x)(3y)(4z)simplify

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

factor 6x^3+13x^2+x-2 factor

6 x^{3} + 13 x^{2} + x - 2

Frequently Asked Questions (FAQ)

What is expand (5-x^2)^3 ?
The solution to expand (5-x^2)^3 is 125-75x^2+15x^4-x^6