en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1+3x)^3

Solution

expand

(1 + 3 x)^{3}

Solution

1 + 9 x + 27 x^{2} + 27 x^{3}

Solution steps

(1 + 3 x)^{3}

Apply Perfect Cube Formula:

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

(1 + 3 x)^{3} = 1^{3} + 3 \cdot 1^{2} \cdot 3 x + 3 \cdot 1 \cdot (3 x)^{2} + (3 x)^{3}

= 1^{3} + 3 \cdot 1^{2} \cdot 3 x + 3 \cdot 1 \cdot (3 x)^{2} + (3 x)^{3}

Simplify

1^{3} + 3 \cdot 1^{2} \cdot 3 x + 3 \cdot 1 \cdot (3 x)^{2} + (3 x)^{3} : 1 + 9 x + 27 x^{2} + 27 x^{3}

= 1 + 9 x + 27 x^{2} + 27 x^{3}

Popular Examples

simplify sqrt(450)*sqrt(11)simplify

450 \cdot 11

simplify 8\times 1/3 simplify

8 \times \frac{1}{3}

simplify e^{ln(x)}simplify

e^{l n (x)}

simplify 4xxxx simplify

4 xxxx

simplify 13\times 4 simplify

13 \times 4

Frequently Asked Questions (FAQ)

What is expand (1+3x)^3 ?
The solution to expand (1+3x)^3 is 1+9x+27x^2+27x^3