Evaluate
\frac{10\left(x+7\right)\left(9x^{2}-1\right)}{9x\left(x+4\right)}
Expand
\frac{10\left(9x^{3}+63x^{2}-x-7\right)}{9x\left(x+4\right)}
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\frac{10x\left(x+7\right)}{x+4}-\frac{10\left(x+7\right)}{9x\left(x+4\right)}
Cancel out x in both numerator and denominator.
\frac{10x\left(x+7\right)\times 9x}{9x\left(x+4\right)}-\frac{10\left(x+7\right)}{9x\left(x+4\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x+4 and 9x\left(x+4\right) is 9x\left(x+4\right). Multiply \frac{10x\left(x+7\right)}{x+4} times \frac{9x}{9x}.
\frac{10x\left(x+7\right)\times 9x-10\left(x+7\right)}{9x\left(x+4\right)}
Since \frac{10x\left(x+7\right)\times 9x}{9x\left(x+4\right)} and \frac{10\left(x+7\right)}{9x\left(x+4\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{90x^{3}+630x^{2}-10x-70}{9x\left(x+4\right)}
Do the multiplications in 10x\left(x+7\right)\times 9x-10\left(x+7\right).
\frac{90x^{3}+630x^{2}-10x-70}{9x^{2}+36x}
Expand 9x\left(x+4\right).
\frac{10x\left(x+7\right)}{x+4}-\frac{10\left(x+7\right)}{9x\left(x+4\right)}
Cancel out x in both numerator and denominator.
\frac{10x\left(x+7\right)\times 9x}{9x\left(x+4\right)}-\frac{10\left(x+7\right)}{9x\left(x+4\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x+4 and 9x\left(x+4\right) is 9x\left(x+4\right). Multiply \frac{10x\left(x+7\right)}{x+4} times \frac{9x}{9x}.
\frac{10x\left(x+7\right)\times 9x-10\left(x+7\right)}{9x\left(x+4\right)}
Since \frac{10x\left(x+7\right)\times 9x}{9x\left(x+4\right)} and \frac{10\left(x+7\right)}{9x\left(x+4\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{90x^{3}+630x^{2}-10x-70}{9x\left(x+4\right)}
Do the multiplications in 10x\left(x+7\right)\times 9x-10\left(x+7\right).
\frac{90x^{3}+630x^{2}-10x-70}{9x^{2}+36x}
Expand 9x\left(x+4\right).
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y = 3x + 4
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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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