Solve 6a+5b/8a-2b-a+6b/8a-2b+3a-b/8a-2b

$$\frac { 6 a + 5 b } { 8 a - 2 b } - \frac { a + 6 b } { 8 a - 2 b } + \frac { 3 a - b } { 8 a - 2 b }$$

Evaluate

$$1$$

Short Solution Steps

Since \frac{6a+5b}{8a-2b} and \frac{a+6b}{8a-2b} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6a+5b-\left(a+6b\right)}{8a-2b}+\frac{3a-b}{8a-2b}$$

Do the multiplications in 6a+5b-\left(a+6b\right).

$$\frac{6a+5b-a-6b}{8a-2b}+\frac{3a-b}{8a-2b}$$

Combine like terms in 6a+5b-a-6b.

$$\frac{5a-b}{8a-2b}+\frac{3a-b}{8a-2b}$$

Since \frac{5a-b}{8a-2b} and \frac{3a-b}{8a-2b} have the same denominator, add them by adding their numerators.

$$\frac{5a-b+3a-b}{8a-2b}$$

Combine like terms in 5a-b+3a-b.

$$\frac{8a-2b}{8a-2b}$$

Cancel out 8a-2b in both numerator and denominator.

$$1$$

Factor

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