Evaluate
2\left(x-1\right)\left(5x+3\right)
Expand
10x^{2}-4x-6
Graph
Share
Copied to clipboard
18x^{2}+15x-\left(x+2\right)\left(3+8x\right)
Use the distributive property to multiply 3x by 6x+5.
18x^{2}+15x-\left(3x+8x^{2}+6+16x\right)
Apply the distributive property by multiplying each term of x+2 by each term of 3+8x.
18x^{2}+15x-\left(19x+8x^{2}+6\right)
Combine 3x and 16x to get 19x.
18x^{2}+15x-19x-8x^{2}-6
To find the opposite of 19x+8x^{2}+6, find the opposite of each term.
18x^{2}-4x-8x^{2}-6
Combine 15x and -19x to get -4x.
10x^{2}-4x-6
Combine 18x^{2} and -8x^{2} to get 10x^{2}.
18x^{2}+15x-\left(x+2\right)\left(3+8x\right)
Use the distributive property to multiply 3x by 6x+5.
18x^{2}+15x-\left(3x+8x^{2}+6+16x\right)
Apply the distributive property by multiplying each term of x+2 by each term of 3+8x.
18x^{2}+15x-\left(19x+8x^{2}+6\right)
Combine 3x and 16x to get 19x.
18x^{2}+15x-19x-8x^{2}-6
To find the opposite of 19x+8x^{2}+6, find the opposite of each term.
18x^{2}-4x-8x^{2}-6
Combine 15x and -19x to get -4x.
10x^{2}-4x-6
Combine 18x^{2} and -8x^{2} to get 10x^{2}.
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}