Evaluate
\frac{6x\left(7-2x\right)}{4x^{2}-9}
Expand
-\frac{6\left(2x^{2}-7x\right)}{4x^{2}-9}
Graph
Quiz
Polynomial
5 problems similar to:
( \frac { 2 x + 3 } { 2 x - 3 } - \frac { 8 x - 3 } { 2 x + 3 } )
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\frac{\left(2x+3\right)\left(2x+3\right)}{\left(2x-3\right)\left(2x+3\right)}-\frac{\left(8x-3\right)\left(2x-3\right)}{\left(2x-3\right)\left(2x+3\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2x-3 and 2x+3 is \left(2x-3\right)\left(2x+3\right). Multiply \frac{2x+3}{2x-3} times \frac{2x+3}{2x+3}. Multiply \frac{8x-3}{2x+3} times \frac{2x-3}{2x-3}.
\frac{\left(2x+3\right)\left(2x+3\right)-\left(8x-3\right)\left(2x-3\right)}{\left(2x-3\right)\left(2x+3\right)}
Since \frac{\left(2x+3\right)\left(2x+3\right)}{\left(2x-3\right)\left(2x+3\right)} and \frac{\left(8x-3\right)\left(2x-3\right)}{\left(2x-3\right)\left(2x+3\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{4x^{2}+6x+6x+9-16x^{2}+24x+6x-9}{\left(2x-3\right)\left(2x+3\right)}
Do the multiplications in \left(2x+3\right)\left(2x+3\right)-\left(8x-3\right)\left(2x-3\right).
\frac{-12x^{2}+42x}{\left(2x-3\right)\left(2x+3\right)}
Combine like terms in 4x^{2}+6x+6x+9-16x^{2}+24x+6x-9.
\frac{-12x^{2}+42x}{4x^{2}-9}
Expand \left(2x-3\right)\left(2x+3\right).
\frac{\left(2x+3\right)\left(2x+3\right)}{\left(2x-3\right)\left(2x+3\right)}-\frac{\left(8x-3\right)\left(2x-3\right)}{\left(2x-3\right)\left(2x+3\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2x-3 and 2x+3 is \left(2x-3\right)\left(2x+3\right). Multiply \frac{2x+3}{2x-3} times \frac{2x+3}{2x+3}. Multiply \frac{8x-3}{2x+3} times \frac{2x-3}{2x-3}.
\frac{\left(2x+3\right)\left(2x+3\right)-\left(8x-3\right)\left(2x-3\right)}{\left(2x-3\right)\left(2x+3\right)}
Since \frac{\left(2x+3\right)\left(2x+3\right)}{\left(2x-3\right)\left(2x+3\right)} and \frac{\left(8x-3\right)\left(2x-3\right)}{\left(2x-3\right)\left(2x+3\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{4x^{2}+6x+6x+9-16x^{2}+24x+6x-9}{\left(2x-3\right)\left(2x+3\right)}
Do the multiplications in \left(2x+3\right)\left(2x+3\right)-\left(8x-3\right)\left(2x-3\right).
\frac{-12x^{2}+42x}{\left(2x-3\right)\left(2x+3\right)}
Combine like terms in 4x^{2}+6x+6x+9-16x^{2}+24x+6x-9.
\frac{-12x^{2}+42x}{4x^{2}-9}
Expand \left(2x-3\right)\left(2x+3\right).
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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