Evaluate
\frac{8x-131}{17\left(2x-3\right)\left(x+2\right)}
Expand
\frac{8x-131}{17\left(2x-3\right)\left(x+2\right)}
Graph
Quiz
Polynomial
5 problems similar to:
\frac { - 34 } { 17 ( 2 x - 3 ) } + \frac { 21 } { 17 ( x + 2 ) }
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\frac{-34\left(x+2\right)}{17\left(2x-3\right)\left(x+2\right)}+\frac{21\left(2x-3\right)}{17\left(2x-3\right)\left(x+2\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 17\left(2x-3\right) and 17\left(x+2\right) is 17\left(2x-3\right)\left(x+2\right). Multiply \frac{-34}{17\left(2x-3\right)} times \frac{x+2}{x+2}. Multiply \frac{21}{17\left(x+2\right)} times \frac{2x-3}{2x-3}.
\frac{-34\left(x+2\right)+21\left(2x-3\right)}{17\left(2x-3\right)\left(x+2\right)}
Since \frac{-34\left(x+2\right)}{17\left(2x-3\right)\left(x+2\right)} and \frac{21\left(2x-3\right)}{17\left(2x-3\right)\left(x+2\right)} have the same denominator, add them by adding their numerators.
\frac{-34x-68+42x-63}{17\left(2x-3\right)\left(x+2\right)}
Do the multiplications in -34\left(x+2\right)+21\left(2x-3\right).
\frac{8x-131}{17\left(2x-3\right)\left(x+2\right)}
Combine like terms in -34x-68+42x-63.
\frac{8x-131}{34x^{2}+17x-102}
Expand 17\left(2x-3\right)\left(x+2\right).
\frac{-34\left(x+2\right)}{17\left(2x-3\right)\left(x+2\right)}+\frac{21\left(2x-3\right)}{17\left(2x-3\right)\left(x+2\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 17\left(2x-3\right) and 17\left(x+2\right) is 17\left(2x-3\right)\left(x+2\right). Multiply \frac{-34}{17\left(2x-3\right)} times \frac{x+2}{x+2}. Multiply \frac{21}{17\left(x+2\right)} times \frac{2x-3}{2x-3}.
\frac{-34\left(x+2\right)+21\left(2x-3\right)}{17\left(2x-3\right)\left(x+2\right)}
Since \frac{-34\left(x+2\right)}{17\left(2x-3\right)\left(x+2\right)} and \frac{21\left(2x-3\right)}{17\left(2x-3\right)\left(x+2\right)} have the same denominator, add them by adding their numerators.
\frac{-34x-68+42x-63}{17\left(2x-3\right)\left(x+2\right)}
Do the multiplications in -34\left(x+2\right)+21\left(2x-3\right).
\frac{8x-131}{17\left(2x-3\right)\left(x+2\right)}
Combine like terms in -34x-68+42x-63.
\frac{8x-131}{34x^{2}+17x-102}
Expand 17\left(2x-3\right)\left(x+2\right).
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