Factor
\left(15x-13y+z+1\right)\left(15x+13y-z+1\right)
Evaluate
\left(15x+1\right)^{2}-\left(13y-z\right)^{2}
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\left(1+15x-13y+z\right)\left(1+15x+13y-z\right)
Rewrite 225x^{2}-169y^{2}+1+30x+26yz-z^{2} as \left(1+15x\right)^{2}-\left(13y-z\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(15x-13y+z+1\right)\left(15x+13y-z+1\right)
Reorder the terms.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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
\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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