en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3q+1)^3

Solution

expand

(3 q + 1)^{3}

Solution

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

Solution steps

(3 q + 1)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

Popular Examples

expand (2z-3w)^3 expand

(2 z - 3 w)^{3}

simplify ((6x^3-22x^2+2x+56))/((6x+8))simplify

\frac{( 6 x ^{3} - 22 x ^{2} + 2 x + 56 )}{( 6 x + 8 )}

simplify ((x^3)/6)^3 simplify

(\frac{x ^{3}}{6})^{3}

simplify ((x)(cos^2(x)))/((sin^2(x)))simplify

\frac{( x ) ( cos ^{2} ( x ) )}{( sin ^{2} ( x ) )}

simplify (3a^4)^2 simplify

(3 a^{4})^{2}

Frequently Asked Questions (FAQ)

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