Evaluate
-\left(3y-7\right)^{2}+4x^{2}
Expand
4x^{2}-9y^{2}+42y-49
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4x^{2}+6xy-14x-6yx-9y^{2}+21y+14x+21y-49
Apply the distributive property by multiplying each term of 2x-3y+7 by each term of 2x+3y-7.
4x^{2}-14x-9y^{2}+21y+14x+21y-49
Combine 6xy and -6yx to get 0.
4x^{2}-9y^{2}+21y+21y-49
Combine -14x and 14x to get 0.
4x^{2}-9y^{2}+42y-49
Combine 21y and 21y to get 42y.
4x^{2}+6xy-14x-6yx-9y^{2}+21y+14x+21y-49
Apply the distributive property by multiplying each term of 2x-3y+7 by each term of 2x+3y-7.
4x^{2}-14x-9y^{2}+21y+14x+21y-49
Combine 6xy and -6yx to get 0.
4x^{2}-9y^{2}+21y+21y-49
Combine -14x and 14x to get 0.
4x^{2}-9y^{2}+42y-49
Combine 21y and 21y to get 42y.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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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