Solve (10(A)^(2)(B)^(3)C)/(80((A)^(3)-(A)^(2)B)) | 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

$$\frac{ 10 { A }^{ 2 } { B }^{ 3 } C }{ 80( { A }^{ 3 } - { A }^{ 2 } B) }$$

Evaluate

$\frac{CB^{3}}{8\left(A-B\right)}$

Short Solution Steps

Cancel out $10$ in both numerator and denominator.

$$\frac{CA^{2}B^{3}}{8\left(A^{3}-BA^{2}\right)}$$

Factor the expressions that are not already factored.

$$\frac{CA^{2}B^{3}}{8\left(A-B\right)A^{2}}$$

Cancel out $A^{2}$ in both numerator and denominator.

$$\frac{CB^{3}}{8\left(A-B\right)}$$

Expand the expression.

$$\frac{CB^{3}}{8A-8B}$$

Expand

$\frac{CB^{3}}{8\left(A-B\right)}$

Short Solution Steps

Cancel out $10$ in both numerator and denominator.

$$\frac{CA^{2}B^{3}}{8\left(A^{3}-BA^{2}\right)}$$

Factor the expressions that are not already factored.

$$\frac{CA^{2}B^{3}}{8\left(A-B\right)A^{2}}$$

Cancel out $A^{2}$ in both numerator and denominator.

$$\frac{CB^{3}}{8\left(A-B\right)}$$

Expand the expression.

$$\frac{CB^{3}}{8A-8B}$$