Evaluate
\left(9x-5y\right)\left(7x+5y\right)
Expand
63x^{2}+10xy-25y^{2}
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63x^{2}-35xy+45yx-25y^{2}
Apply the distributive property by multiplying each term of 7x+5y by each term of 9x-5y.
63x^{2}+10xy-25y^{2}
Combine -35xy and 45yx to get 10xy.
63x^{2}-35xy+45yx-25y^{2}
Apply the distributive property by multiplying each term of 7x+5y by each term of 9x-5y.
63x^{2}+10xy-25y^{2}
Combine -35xy and 45yx to get 10xy.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
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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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