Factor
\frac{\left(5x-7y\right)\left(5x+7y\right)}{2450}
Evaluate
\frac{x^{2}}{98}-\frac{y^{2}}{50}
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\frac{25x^{2}-49y^{2}}{2450}
Factor out \frac{1}{2450}.
\left(5x-7y\right)\left(5x+7y\right)
Consider 25x^{2}-49y^{2}. Rewrite 25x^{2}-49y^{2} as \left(5x\right)^{2}-\left(7y\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\frac{\left(5x-7y\right)\left(5x+7y\right)}{2450}
Rewrite the complete factored expression.
\frac{25x^{2}}{2450}-\frac{49y^{2}}{2450}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 98 and 50 is 2450. Multiply \frac{x^{2}}{98} times \frac{25}{25}. Multiply \frac{y^{2}}{50} times \frac{49}{49}.
\frac{25x^{2}-49y^{2}}{2450}
Since \frac{25x^{2}}{2450} and \frac{49y^{2}}{2450} have the same denominator, subtract them by subtracting their numerators.
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Simultaneous equation
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Differentiation
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Integration
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Limits
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