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Popular >

expand (3a+1)^3

Solution

expand

(3 a + 1)^{3}

Solution

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

Solution steps

(3 a + 1)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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