Solve (x + 4)/(x + 2) - (x - 1)/(x + 2) | 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

$$\frac{x+4}{x+2}-\frac{x-1}{x+2}$$

Evaluate

$\frac{5}{x+2}$

Short Solution Steps

Since $\frac{x+4}{x+2}$ and $\frac{x-1}{x+2}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{x+4-\left(x-1\right)}{x+2}$$

Do the multiplications in $x+4-\left(x-1\right)$.

$$\frac{x+4-x+1}{x+2}$$

Combine like terms in $x+4-x+1$.

$$\frac{5}{x+2}$$

Expand

$\frac{5}{x+2}$

Short Solution Steps

Since $\frac{x+4}{x+2}$ and $\frac{x-1}{x+2}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{x+4-\left(x-1\right)}{x+2}$$

Do the multiplications in $x+4-\left(x-1\right)$.

$$\frac{x+4-x+1}{x+2}$$

Combine like terms in $x+4-x+1$.

$$\frac{5}{x+2}$$