What is expand (4m+3n)^3 ?

The solution to expand (4m+3n)^3 is 64m^3+144m^2n+108mn^2+27n^3

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expand (4m+3n)^3

expand

(4 m + 3 n)^{3}

64 m^{3} + 144 m^{2} n + 108 m n^{2} + 27 n^{3}

Solution steps

(4 m + 3 n)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(4 m)^{3} + 3 (4 m)^{2} \cdot 3 n + 3 \cdot 4 m (3 n)^{2} + (3 n)^{3} : 64 m^{3} + 144 m^{2} n + 108 m n^{2} + 27 n^{3}

= 64 m^{3} + 144 m^{2} n + 108 m n^{2} + 27 n^{3}

\frac{3}{6} + \frac{7}{4} + \frac{1}{12}

6 x \times (- 2)

lo g_{16} (\frac{1}{128})

3 y + 12

x^{6} - 81

What is expand (4m+3n)^3 ?
The solution to expand (4m+3n)^3 is 64m^3+144m^2n+108mn^2+27n^3