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Popular >

expand (r+3)^3

Solution

expand

(r + 3)^{3}

Solution

r^{3} + 9 r^{2} + 27 r + 27

Solution steps

(r + 3)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

r^{3} + 3 r^{2} \cdot 3 + 3 r \cdot 3^{2} + 3^{3} : r^{3} + 9 r^{2} + 27 r + 27

= r^{3} + 9 r^{2} + 27 r + 27

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Frequently Asked Questions (FAQ)

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