Evaluate
5\left(x-1\right)\left(2x-3\right)
Expand
10x^{2}-25x+15
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15x^{2}-25x-15x+25+\left(-5x+5\right)\left(x-2\right)
Apply the distributive property by multiplying each term of -5x+5 by each term of -3x+5.
15x^{2}-40x+25+\left(-5x+5\right)\left(x-2\right)
Combine -25x and -15x to get -40x.
15x^{2}-40x+25-5x^{2}+10x+5x-10
Apply the distributive property by multiplying each term of -5x+5 by each term of x-2.
15x^{2}-40x+25-5x^{2}+15x-10
Combine 10x and 5x to get 15x.
10x^{2}-40x+25+15x-10
Combine 15x^{2} and -5x^{2} to get 10x^{2}.
10x^{2}-25x+25-10
Combine -40x and 15x to get -25x.
10x^{2}-25x+15
Subtract 10 from 25 to get 15.
15x^{2}-25x-15x+25+\left(-5x+5\right)\left(x-2\right)
Apply the distributive property by multiplying each term of -5x+5 by each term of -3x+5.
15x^{2}-40x+25+\left(-5x+5\right)\left(x-2\right)
Combine -25x and -15x to get -40x.
15x^{2}-40x+25-5x^{2}+10x+5x-10
Apply the distributive property by multiplying each term of -5x+5 by each term of x-2.
15x^{2}-40x+25-5x^{2}+15x-10
Combine 10x and 5x to get 15x.
10x^{2}-40x+25+15x-10
Combine 15x^{2} and -5x^{2} to get 10x^{2}.
10x^{2}-25x+25-10
Combine -40x and 15x to get -25x.
10x^{2}-25x+15
Subtract 10 from 25 to get 15.
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
699 * 533
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}