What is expand (4s+3r)^3 ?

The solution to expand (4s+3r)^3 is 64s^3+144s^2r+108sr^2+27r^3

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expand (4s+3r)^3

expand

(4 s + 3 r)^{3}

64 s^{3} + 144 s^{2} r + 108 s r^{2} + 27 r^{3}

Solution steps

(4 s + 3 r)^{3}

Apply Perfect Cube Formula:

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

(4 s + 3 r)^{3} = (4 s)^{3} + 3 (4 s)^{2} \cdot 3 r + 3 \cdot 4 s (3 r)^{2} + (3 r)^{3}

= (4 s)^{3} + 3 (4 s)^{2} \cdot 3 r + 3 \cdot 4 s (3 r)^{2} + (3 r)^{3}

Simplify

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

= 64 s^{3} + 144 s^{2} r + 108 s r^{2} + 27 r^{3}

\frac{6 x ^{2} + 12 x}{3 x}

72 + 50

747 + 8147

z^{2} + 4 z + 4

What is expand (4s+3r)^3 ?
The solution to expand (4s+3r)^3 is 64s^3+144s^2r+108sr^2+27r^3