Factor
\left(2x^{2}-7y^{2}\right)\left(4x^{4}+14x^{2}y^{2}+49y^{4}\right)
Evaluate
8x^{6}-343y^{6}
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\left(2x^{2}-7y^{2}\right)\left(4x^{4}+14x^{2}y^{2}+49y^{4}\right)
Rewrite 8x^{6}-343y^{6} as \left(2x^{2}\right)^{3}-\left(7y^{2}\right)^{3}. The difference of cubes can be factored using the rule: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right).
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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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
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Differentiation
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Integration
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Limits
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