Evaluate
4x^{2}-40x-9y^{2}
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4x^{2}-40x-9y^{2}
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\left(2x-3y\right)\left(2\times 1x+3y+5\right)-10\times 5x+15y
Multiply 2 and 1 to get 2.
\left(2x-3y\right)\left(2x+3y+5\right)-10\times 5x+15y
Multiply 2 and 1 to get 2.
4x^{2}+6xy+10x-6yx-9y^{2}-15y-10\times 5x+15y
Apply the distributive property by multiplying each term of 2x-3y by each term of 2x+3y+5.
4x^{2}+10x-9y^{2}-15y-10\times 5x+15y
Combine 6xy and -6yx to get 0.
4x^{2}+10x-9y^{2}-15y-50x+15y
Multiply 10 and 5 to get 50.
4x^{2}-40x-9y^{2}-15y+15y
Combine 10x and -50x to get -40x.
4x^{2}-40x-9y^{2}
Combine -15y and 15y to get 0.
\left(2x-3y\right)\left(2\times 1x+3y+5\right)-10\times 5x+15y
Multiply 2 and 1 to get 2.
\left(2x-3y\right)\left(2x+3y+5\right)-10\times 5x+15y
Multiply 2 and 1 to get 2.
4x^{2}+6xy+10x-6yx-9y^{2}-15y-10\times 5x+15y
Apply the distributive property by multiplying each term of 2x-3y by each term of 2x+3y+5.
4x^{2}+10x-9y^{2}-15y-10\times 5x+15y
Combine 6xy and -6yx to get 0.
4x^{2}+10x-9y^{2}-15y-50x+15y
Multiply 10 and 5 to get 50.
4x^{2}-40x-9y^{2}-15y+15y
Combine 10x and -50x to get -40x.
4x^{2}-40x-9y^{2}
Combine -15y and 15y to get 0.
Examples
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{ 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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}