What is expand (3s+5p)^3 ?

The solution to expand (3s+5p)^3 is 27s^3+135s^2p+225sp^2+125p^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3s+5p)^3

expand

(3 s + 5 p)^{3}

27 s^{3} + 135 s^{2} p + 225 s p^{2} + 125 p^{3}

Solution steps

(3 s + 5 p)^{3}

Apply Perfect Cube Formula:

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

(3 s + 5 p)^{3} = (3 s)^{3} + 3 (3 s)^{2} \cdot 5 p + 3 \cdot 3 s (5 p)^{2} + (5 p)^{3}

= (3 s)^{3} + 3 (3 s)^{2} \cdot 5 p + 3 \cdot 3 s (5 p)^{2} + (5 p)^{3}

Simplify

(3 s)^{3} + 3 (3 s)^{2} \cdot 5 p + 3 \cdot 3 s (5 p)^{2} + (5 p)^{3} : 27 s^{3} + 135 s^{2} p + 225 s p^{2} + 125 p^{3}

= 27 s^{3} + 135 s^{2} p + 225 s p^{2} + 125 p^{3}

2 (x + 6) - 5 + 3 x

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

(2 w)^{3}

x^{3} + 4 x^{2} - 3 x - 2

(7 - 5)^{2}

What is expand (3s+5p)^3 ?
The solution to expand (3s+5p)^3 is 27s^3+135s^2p+225sp^2+125p^3