en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2a+1)^3

Solution

expand

(2 a + 1)^{3}

Solution

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

Solution steps

(2 a + 1)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 a)^{3} + 3 (2 a)^{2} \cdot 1 + 3 \cdot 2 a \cdot 1^{2} + 1^{3} : 8 a^{3} + 12 a^{2} + 6 a + 1

= 8 a^{3} + 12 a^{2} + 6 a + 1

Popular Examples

expand (x-2)(x-4)(x-6)expand

(x - 2) (x - 4) (x - 6)

simplify-2\times 4 simplify

- 2 \times 4

expand-5q^2(-q-5)expand

- 5 q^{2} (- q - 5)

simplify-0 simplify

- 0

simplify 5+8 simplify

5 + 8

Frequently Asked Questions (FAQ)

What is expand (2a+1)^3 ?
The solution to expand (2a+1)^3 is 8a^3+12a^2+6a+1