en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2r+1)^3

Solution

expand

(2 r + 1)^{3}

Solution

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

Solution steps

(2 r + 1)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

Popular Examples

simplify log_{5}(5^a)simplify

lo g_{5} (5^{a})

simplify t(s)1233v(m/s)4812 simplify

t (s) 1233 v (\frac{m}{s}) 4812

factor 16a^4*b^6-c^6 factor

16 a^{4} \cdot b^{6} - c^{6}

simplify 2 x/(x^2)-9+5/(x^2)+x-6 simplify

2 \frac{x}{x ^{2}} - 9 + \frac{5}{x ^{2}} + x - 6

simplify 2(x-1)(x+1)-(2x-1)(x+1)simplify

2 (x - 1) (x + 1) - (2 x - 1) (x + 1)

Frequently Asked Questions (FAQ)

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