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Popular >

expand (r+5)^3

Solution

expand

(r + 5)^{3}

Solution

r^{3} + 15 r^{2} + 75 r + 125

Solution steps

(r + 5)^{3}

Apply Perfect Cube Formula:

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

(r + 5)^{3} = r^{3} + 3 r^{2} \cdot 5 + 3 r \cdot 5^{2} + 5^{3}

= r^{3} + 3 r^{2} \cdot 5 + 3 r \cdot 5^{2} + 5^{3}

Simplify

r^{3} + 3 r^{2} \cdot 5 + 3 r \cdot 5^{2} + 5^{3} : r^{3} + 15 r^{2} + 75 r + 125

= r^{3} + 15 r^{2} + 75 r + 125

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Frequently Asked Questions (FAQ)

What is expand (r+5)^3 ?
The solution to expand (r+5)^3 is r^3+15r^2+75r+125