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2x^{2}-12x+15
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2x^{2}-12x+15
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3x^{2}-5x-9x+15-x\left(x-2\right)
Apply the distributive property by multiplying each term of x-3 by each term of 3x-5.
3x^{2}-14x+15-x\left(x-2\right)
Combine -5x and -9x to get -14x.
3x^{2}-14x+15-\left(x^{2}-2x\right)
Use the distributive property to multiply x by x-2.
3x^{2}-14x+15-x^{2}-\left(-2x\right)
To find the opposite of x^{2}-2x, find the opposite of each term.
3x^{2}-14x+15-x^{2}+2x
The opposite of -2x is 2x.
2x^{2}-14x+15+2x
Combine 3x^{2} and -x^{2} to get 2x^{2}.
2x^{2}-12x+15
Combine -14x and 2x to get -12x.
3x^{2}-5x-9x+15-x\left(x-2\right)
Apply the distributive property by multiplying each term of x-3 by each term of 3x-5.
3x^{2}-14x+15-x\left(x-2\right)
Combine -5x and -9x to get -14x.
3x^{2}-14x+15-\left(x^{2}-2x\right)
Use the distributive property to multiply x by x-2.
3x^{2}-14x+15-x^{2}-\left(-2x\right)
To find the opposite of x^{2}-2x, find the opposite of each term.
3x^{2}-14x+15-x^{2}+2x
The opposite of -2x is 2x.
2x^{2}-14x+15+2x
Combine 3x^{2} and -x^{2} to get 2x^{2}.
2x^{2}-12x+15
Combine -14x and 2x to get -12x.
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}