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Popular >

expand (r+4)^3

Solution

expand

(r + 4)^{3}

Solution

r^{3} + 12 r^{2} + 48 r + 64

Solution steps

(r + 4)^{3}

Apply Perfect Cube Formula:

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

(r + 4)^{3} = r^{3} + 3 r^{2} \cdot 4 + 3 r \cdot 4^{2} + 4^{3}

= r^{3} + 3 r^{2} \cdot 4 + 3 r \cdot 4^{2} + 4^{3}

Simplify

r^{3} + 3 r^{2} \cdot 4 + 3 r \cdot 4^{2} + 4^{3} : r^{3} + 12 r^{2} + 48 r + 64

= r^{3} + 12 r^{2} + 48 r + 64

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Frequently Asked Questions (FAQ)

What is expand (r+4)^3 ?
The solution to expand (r+4)^3 is r^3+12r^2+48r+64