en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2y+1)^3

Solution

expand

(2 y + 1)^{3}

Solution

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

Solution steps

(2 y + 1)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

Popular Examples

factor y^5-4y^3+3y factor

y^{5} - 4 y^{3} + 3 y

simplify cot(a)+cot(a)tan^2(a)simplify

cot (a) + cot (a) tan^{2} (a)

simplify ((x^2-x))/((x^2-1))simplify

\frac{( x ^{2} - x )}{( x ^{2} - 1 )}

simplify (1-e^t+3e^{-4}t)cos^5(t)simplify

(1 - e^{t} + 3 e^{- 4} t) cos^{5} (t)

simplify sqrt(3*a*b^9)simplify

3 \cdot a \cdot b^{9}

Frequently Asked Questions (FAQ)

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