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Popular >

expand (4+5m)^3

Solution

expand

(4 + 5 m)^{3}

Solution

64 + 240 m + 300 m^{2} + 125 m^{3}

Solution steps

(4 + 5 m)^{3}

Apply Perfect Cube Formula:

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

(4 + 5 m)^{3} = 4^{3} + 3 \cdot 4^{2} \cdot 5 m + 3 \cdot 4 (5 m)^{2} + (5 m)^{3}

= 4^{3} + 3 \cdot 4^{2} \cdot 5 m + 3 \cdot 4 (5 m)^{2} + (5 m)^{3}

Simplify

4^{3} + 3 \cdot 4^{2} \cdot 5 m + 3 \cdot 4 (5 m)^{2} + (5 m)^{3} : 64 + 240 m + 300 m^{2} + 125 m^{3}

= 64 + 240 m + 300 m^{2} + 125 m^{3}

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Frequently Asked Questions (FAQ)

What is expand (4+5m)^3 ?
The solution to expand (4+5m)^3 is 64+240m+300m^2+125m^3