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Popular >

expand (x^3+5)^3

Solution

expand

(x^{3} + 5)^{3}

Solution

x^{9} + 15 x^{6} + 75 x^{3} + 125

Solution steps

(x^{3} + 5)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(x^{3})^{3} + 3 (x^{3})^{2} \cdot 5 + 3 x^{3} \cdot 5^{2} + 5^{3} : x^{9} + 15 x^{6} + 75 x^{3} + 125

= x^{9} + 15 x^{6} + 75 x^{3} + 125

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Frequently Asked Questions (FAQ)

What is expand (x^3+5)^3 ?
The solution to expand (x^3+5)^3 is x^9+15x^6+75x^3+125