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10x^{2}-4x+15x-6-2\left(5x-3\right)\left(x+1\right)
Apply the distributive property by multiplying each term of 2x+3 by each term of 5x-2.
10x^{2}+11x-6-2\left(5x-3\right)\left(x+1\right)
Combine -4x and 15x to get 11x.
10x^{2}+11x-6+\left(-10x+6\right)\left(x+1\right)
Use the distributive property to multiply -2 by 5x-3.
10x^{2}+11x-6-10x^{2}-10x+6x+6
Apply the distributive property by multiplying each term of -10x+6 by each term of x+1.
10x^{2}+11x-6-10x^{2}-4x+6
Combine -10x and 6x to get -4x.
11x-6-4x+6
Combine 10x^{2} and -10x^{2} to get 0.
7x-6+6
Combine 11x and -4x to get 7x.
7x
Add -6 and 6 to get 0.
10x^{2}-4x+15x-6-2\left(5x-3\right)\left(x+1\right)
Apply the distributive property by multiplying each term of 2x+3 by each term of 5x-2.
10x^{2}+11x-6-2\left(5x-3\right)\left(x+1\right)
Combine -4x and 15x to get 11x.
10x^{2}+11x-6+\left(-10x+6\right)\left(x+1\right)
Use the distributive property to multiply -2 by 5x-3.
10x^{2}+11x-6-10x^{2}-10x+6x+6
Apply the distributive property by multiplying each term of -10x+6 by each term of x+1.
10x^{2}+11x-6-10x^{2}-4x+6
Combine -10x and 6x to get -4x.
11x-6-4x+6
Combine 10x^{2} and -10x^{2} to get 0.
7x-6+6
Combine 11x and -4x to get 7x.
7x
Add -6 and 6 to get 0.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}