en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3x+4)^3

Solution

expand

(3 x + 4)^{3}

Solution

27 x^{3} + 108 x^{2} + 144 x + 64

Solution steps

(3 x + 4)^{3}

Apply Perfect Cube Formula:

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

(3 x + 4)^{3} = (3 x)^{3} + 3 (3 x)^{2} \cdot 4 + 3 \cdot 3 x \cdot 4^{2} + 4^{3}

= (3 x)^{3} + 3 (3 x)^{2} \cdot 4 + 3 \cdot 3 x \cdot 4^{2} + 4^{3}

Simplify

(3 x)^{3} + 3 (3 x)^{2} \cdot 4 + 3 \cdot 3 x \cdot 4^{2} + 4^{3} : 27 x^{3} + 108 x^{2} + 144 x + 64

= 27 x^{3} + 108 x^{2} + 144 x + 64

Popular Examples

expand (x+3)(2x^2+9x-2)expand

(x + 3) (2 x^{2} + 9 x - 2)

simplify 16/18 simplify

\frac{16}{18}

expand (x^3-3)^2 expand

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

simplify-4+1/2 simplify

- 4 + \frac{1}{2}

simplify (-11-5i)(-3-9i)simplify

(- 11 - 5 i) (- 3 - 9 i)

Frequently Asked Questions (FAQ)

What is expand (3x+4)^3 ?
The solution to expand (3x+4)^3 is 27x^3+108x^2+144x+64