Evaluate
2\left(2x+y-3\right)\left(3x-4y+5\right)
Expand
12x^{2}-10xy+2x-8y^{2}+34y-30
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12x^{2}-16xy+20x+6yx-8y^{2}+10y-18x+24y-30
Apply the distributive property by multiplying each term of 4x+2y-6 by each term of 3x-4y+5.
12x^{2}-10xy+20x-8y^{2}+10y-18x+24y-30
Combine -16xy and 6yx to get -10xy.
12x^{2}-10xy+2x-8y^{2}+10y+24y-30
Combine 20x and -18x to get 2x.
12x^{2}-10xy+2x-8y^{2}+34y-30
Combine 10y and 24y to get 34y.
12x^{2}-16xy+20x+6yx-8y^{2}+10y-18x+24y-30
Apply the distributive property by multiplying each term of 4x+2y-6 by each term of 3x-4y+5.
12x^{2}-10xy+20x-8y^{2}+10y-18x+24y-30
Combine -16xy and 6yx to get -10xy.
12x^{2}-10xy+2x-8y^{2}+10y+24y-30
Combine 20x and -18x to get 2x.
12x^{2}-10xy+2x-8y^{2}+34y-30
Combine 10y and 24y to get 34y.
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
Arithmetic
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}