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Popular >

expand (-m+3)^3

Solution

expand

(- m + 3)^{3}

Solution

- m^{3} + 9 m^{2} - 27 m + 27

Solution steps

(- m + 3)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(- m)^{3} + 3 (- m)^{2} \cdot 3 + 3 (- m) \cdot 3^{2} + 3^{3} : - m^{3} + 9 m^{2} - 27 m + 27

= - m^{3} + 9 m^{2} - 27 m + 27

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Frequently Asked Questions (FAQ)

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