en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3x+y)^3

Solution

expand

(3 x + y)^{3}

Solution

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

Solution steps

(3 x + y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

Popular Examples

2 x \cdot x

simplify (-8i)^2 simplify

(- 8 i)^{2}

simplify 2(3h-4i+1)-3(-4h+2i-4)+5(3h-6i+3)simplify

2 (3 h - 4 i + 1) - 3 (- 4 h + 2 i - 4) + 5 (3 h - 6 i + 3)

simplify l^'hopital simplify

l^{^{'}} h o p i t a l

simplify 8/(sqrt(8))simplify

\frac{8}{8}

Frequently Asked Questions (FAQ)

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