Evaluate
-\left(5y-9\right)^{2}+x^{2}
Expand
x^{2}-25y^{2}+90y-81
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x^{2}-5xy+9x+5yx-25y^{2}+45y-9x+45y-81
Apply the distributive property by multiplying each term of x+5y-9 by each term of x-5y+9.
x^{2}+9x-25y^{2}+45y-9x+45y-81
Combine -5xy and 5yx to get 0.
x^{2}-25y^{2}+45y+45y-81
Combine 9x and -9x to get 0.
x^{2}-25y^{2}+90y-81
Combine 45y and 45y to get 90y.
x^{2}-5xy+9x+5yx-25y^{2}+45y-9x+45y-81
Apply the distributive property by multiplying each term of x+5y-9 by each term of x-5y+9.
x^{2}+9x-25y^{2}+45y-9x+45y-81
Combine -5xy and 5yx to get 0.
x^{2}-25y^{2}+45y+45y-81
Combine 9x and -9x to get 0.
x^{2}-25y^{2}+90y-81
Combine 45y and 45y to get 90y.
Examples
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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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