Solve (4A)^(3)+(5A)^(3)= | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$${ \left(4A \right) }^{ 3 } + { \left(5A \right) }^{ 3 } =$$

Evaluate

$189A^{3}$

Solution Steps

Expand $\left(4A\right)^{3}$.

$$4^{3}A^{3}+\left(5A\right)^{3}$$

Calculate $4$ to the power of $3$ and get $64$.

$$64A^{3}+\left(5A\right)^{3}$$

Expand $\left(5A\right)^{3}$.

$$64A^{3}+5^{3}A^{3}$$

Calculate $5$ to the power of $3$ and get $125$.

$$64A^{3}+125A^{3}$$

Combine $64A^{3}$ and $125A^{3}$ to get $189A^{3}$.

$$189A^{3}$$

Expand

$189A^{3}$

Solution Steps

Expand $\left(4A\right)^{3}$.

$$4^{3}A^{3}+\left(5A\right)^{3}$$

Calculate $4$ to the power of $3$ and get $64$.

$$64A^{3}+\left(5A\right)^{3}$$

Expand $\left(5A\right)^{3}$.

$$64A^{3}+5^{3}A^{3}$$

Calculate $5$ to the power of $3$ and get $125$.

$$64A^{3}+125A^{3}$$

Combine $64A^{3}$ and $125A^{3}$ to get $189A^{3}$.

$$189A^{3}$$