Evaluate
-2\left(x+1\right)\left(x+5\right)
Expand
-2x^{2}-12x-10
Graph
Share
Copied to clipboard
x^{2}-3x+x-3-\left(x+1\right)\left(3x+7\right)
Apply the distributive property by multiplying each term of x+1 by each term of x-3.
x^{2}-2x-3-\left(x+1\right)\left(3x+7\right)
Combine -3x and x to get -2x.
x^{2}-2x-3-\left(3x^{2}+7x+3x+7\right)
Apply the distributive property by multiplying each term of x+1 by each term of 3x+7.
x^{2}-2x-3-\left(3x^{2}+10x+7\right)
Combine 7x and 3x to get 10x.
x^{2}-2x-3-3x^{2}-10x-7
To find the opposite of 3x^{2}+10x+7, find the opposite of each term.
-2x^{2}-2x-3-10x-7
Combine x^{2} and -3x^{2} to get -2x^{2}.
-2x^{2}-12x-3-7
Combine -2x and -10x to get -12x.
-2x^{2}-12x-10
Subtract 7 from -3 to get -10.
x^{2}-3x+x-3-\left(x+1\right)\left(3x+7\right)
Apply the distributive property by multiplying each term of x+1 by each term of x-3.
x^{2}-2x-3-\left(x+1\right)\left(3x+7\right)
Combine -3x and x to get -2x.
x^{2}-2x-3-\left(3x^{2}+7x+3x+7\right)
Apply the distributive property by multiplying each term of x+1 by each term of 3x+7.
x^{2}-2x-3-\left(3x^{2}+10x+7\right)
Combine 7x and 3x to get 10x.
x^{2}-2x-3-3x^{2}-10x-7
To find the opposite of 3x^{2}+10x+7, find the opposite of each term.
-2x^{2}-2x-3-10x-7
Combine x^{2} and -3x^{2} to get -2x^{2}.
-2x^{2}-12x-3-7
Combine -2x and -10x to get -12x.
-2x^{2}-12x-10
Subtract 7 from -3 to get -10.
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}