Evaluate
\frac{2\left(9x^{2}+a^{2}\right)}{9x^{2}-a^{2}}
Expand
\frac{2\left(9x^{2}+a^{2}\right)}{9x^{2}-a^{2}}
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\frac{\left(3x-a\right)\left(3x-a\right)}{\left(3x+a\right)\left(3x-a\right)}+\frac{\left(3x+a\right)\left(3x+a\right)}{\left(3x+a\right)\left(3x-a\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3x+a and 3x-a is \left(3x+a\right)\left(3x-a\right). Multiply \frac{3x-a}{3x+a} times \frac{3x-a}{3x-a}. Multiply \frac{3x+a}{3x-a} times \frac{3x+a}{3x+a}.
\frac{\left(3x-a\right)\left(3x-a\right)+\left(3x+a\right)\left(3x+a\right)}{\left(3x+a\right)\left(3x-a\right)}
Since \frac{\left(3x-a\right)\left(3x-a\right)}{\left(3x+a\right)\left(3x-a\right)} and \frac{\left(3x+a\right)\left(3x+a\right)}{\left(3x+a\right)\left(3x-a\right)} have the same denominator, add them by adding their numerators.
\frac{9x^{2}-3xa-3xa+a^{2}+9x^{2}+3xa+3xa+a^{2}}{\left(3x+a\right)\left(3x-a\right)}
Do the multiplications in \left(3x-a\right)\left(3x-a\right)+\left(3x+a\right)\left(3x+a\right).
\frac{18x^{2}+2a^{2}}{\left(3x+a\right)\left(3x-a\right)}
Combine like terms in 9x^{2}-3xa-3xa+a^{2}+9x^{2}+3xa+3xa+a^{2}.
\frac{18x^{2}+2a^{2}}{9x^{2}-a^{2}}
Expand \left(3x+a\right)\left(3x-a\right).
\frac{\left(3x-a\right)\left(3x-a\right)}{\left(3x+a\right)\left(3x-a\right)}+\frac{\left(3x+a\right)\left(3x+a\right)}{\left(3x+a\right)\left(3x-a\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3x+a and 3x-a is \left(3x+a\right)\left(3x-a\right). Multiply \frac{3x-a}{3x+a} times \frac{3x-a}{3x-a}. Multiply \frac{3x+a}{3x-a} times \frac{3x+a}{3x+a}.
\frac{\left(3x-a\right)\left(3x-a\right)+\left(3x+a\right)\left(3x+a\right)}{\left(3x+a\right)\left(3x-a\right)}
Since \frac{\left(3x-a\right)\left(3x-a\right)}{\left(3x+a\right)\left(3x-a\right)} and \frac{\left(3x+a\right)\left(3x+a\right)}{\left(3x+a\right)\left(3x-a\right)} have the same denominator, add them by adding their numerators.
\frac{9x^{2}-3xa-3xa+a^{2}+9x^{2}+3xa+3xa+a^{2}}{\left(3x+a\right)\left(3x-a\right)}
Do the multiplications in \left(3x-a\right)\left(3x-a\right)+\left(3x+a\right)\left(3x+a\right).
\frac{18x^{2}+2a^{2}}{\left(3x+a\right)\left(3x-a\right)}
Combine like terms in 9x^{2}-3xa-3xa+a^{2}+9x^{2}+3xa+3xa+a^{2}.
\frac{18x^{2}+2a^{2}}{9x^{2}-a^{2}}
Expand \left(3x+a\right)\left(3x-a\right).
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}