Solve ((x)^(2)+6-7)/((x)^(2)-7x+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

$$\frac{ { x }^{ 2 } +6-7 }{ { x }^{ 2 } -7x+6 }$$

Evaluate

$\frac{x+1}{x-6}$

Short Solution Steps

Subtract $7$ from $6$ to get $-1$.

$$\frac{x^{2}-1}{x^{2}-7x+6}$$

Factor the expressions that are not already factored.

$$\frac{\left(x-1\right)\left(x+1\right)}{\left(x-6\right)\left(x-1\right)}$$

Cancel out $x-1$ in both numerator and denominator.

$$\frac{x+1}{x-6}$$

Expand

$\frac{x+1}{x-6}$

Short Solution Steps

Subtract $7$ from $6$ to get $-1$.

$$\frac{x^{2}-1}{x^{2}-7x+6}$$

Factor the expressions that are not already factored.

$$\frac{\left(x-1\right)\left(x+1\right)}{\left(x-6\right)\left(x-1\right)}$$

Cancel out $x-1$ in both numerator and denominator.

$$\frac{x+1}{x-6}$$