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Popular >

expand (r+2)^3

Solution

expand

(r + 2)^{3}

Solution

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

Solution steps

(r + 2)^{3}

Apply Perfect Cube Formula:

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

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

= r^{3} + 3 r^{2} \cdot 2 + 3 r \cdot 2^{2} + 2^{3}

Simplify

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

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

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Frequently Asked Questions (FAQ)

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