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

The solution to expand (r+4t)^3 is r^3+12r^2t+48rt^2+64t^3

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expand (r+4t)^3

expand

(r + 4 t)^{3}

r^{3} + 12 r^{2} t + 48 r t^{2} + 64 t^{3}

Solution steps

(r + 4 t)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

r^{3} + 3 r^{2} \cdot 4 t + 3 r (4 t)^{2} + (4 t)^{3} : r^{3} + 12 r^{2} t + 48 r t^{2} + 64 t^{3}

= r^{3} + 12 r^{2} t + 48 r t^{2} + 64 t^{3}

(9 + 5 i) + (- 4 + 4 i)

- 18 a^{3} b + 27 a^{2} b

\frac{132}{3}

12 x - (4 + 2 x)

9 - 12 a b^{2} - 6 a^{2} b + 4 a b^{2}

What is expand (r+4t)^3 ?
The solution to expand (r+4t)^3 is r^3+12r^2t+48rt^2+64t^3