Solve ((5x)^(2)-(6)^(2))/(5x-6) | 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

$$\frac{ { \left(5x \right) }^{ 2 } - { 6 }^{ 2 } }{ 5x-6 }$$

Evaluate

$5x+6$

Short Solution Steps

Expand $\left(5x\right)^{2}$.

$$\frac{5^{2}x^{2}-6^{2}}{5x-6}$$

Calculate $5$ to the power of $2$ and get $25$.

$$\frac{25x^{2}-6^{2}}{5x-6}$$

Calculate $6$ to the power of $2$ and get $36$.

$$\frac{25x^{2}-36}{5x-6}$$

Factor the expressions that are not already factored.

$$\frac{\left(5x-6\right)\left(5x+6\right)}{5x-6}$$

Cancel out $5x-6$ in both numerator and denominator.

$$5x+6$$

Expand

$5x+6$

Short Solution Steps

Expand $\left(5x\right)^{2}$.

$$\frac{5^{2}x^{2}-6^{2}}{5x-6}$$

Calculate $5$ to the power of $2$ and get $25$.

$$\frac{25x^{2}-6^{2}}{5x-6}$$

Calculate $6$ to the power of $2$ and get $36$.

$$\frac{25x^{2}-36}{5x-6}$$

Factor the expressions that are not already factored.

$$\frac{\left(5x-6\right)\left(5x+6\right)}{5x-6}$$

Cancel out $5x-6$ in both numerator and denominator.

$$5x+6$$