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Popular >

expand (b+10)^3

Solution

expand

(b + 10)^{3}

Solution

b^{3} + 30 b^{2} + 300 b + 1000

Solution steps

(b + 10)^{3}

Apply Perfect Cube Formula:

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

(b + 10)^{3} = b^{3} + 3 b^{2} \cdot 10 + 3 b \cdot 1 0^{2} + 1 0^{3}

= b^{3} + 3 b^{2} \cdot 10 + 3 b \cdot 1 0^{2} + 1 0^{3}

Simplify

b^{3} + 3 b^{2} \cdot 10 + 3 b \cdot 1 0^{2} + 1 0^{3} : b^{3} + 30 b^{2} + 300 b + 1000

= b^{3} + 30 b^{2} + 300 b + 1000

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Frequently Asked Questions (FAQ)

What is expand (b+10)^3 ?
The solution to expand (b+10)^3 is b^3+30b^2+300b+1000