Evaluate
\left(x-2\right)\left(x+4\right)
Expand
x^{2}+2x-8
Graph
Quiz
Polynomial
5 problems similar to:
( x - 1 ) ^ { 2 } + ( x + 2 ) ^ { 2 } - ( x - 3 ) ( x + 3 ) - 22
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x^{2}-2x+1+\left(x+2\right)^{2}-\left(x-3\right)\left(x+3\right)-22
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{2}-2x+1+x^{2}+4x+4-\left(x-3\right)\left(x+3\right)-22
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
2x^{2}-2x+1+4x+4-\left(x-3\right)\left(x+3\right)-22
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}+2x+1+4-\left(x-3\right)\left(x+3\right)-22
Combine -2x and 4x to get 2x.
2x^{2}+2x+5-\left(x-3\right)\left(x+3\right)-22
Add 1 and 4 to get 5.
2x^{2}+2x+5-\left(x^{2}-9\right)-22
Consider \left(x-3\right)\left(x+3\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 3.
2x^{2}+2x+5-x^{2}+9-22
To find the opposite of x^{2}-9, find the opposite of each term.
x^{2}+2x+5+9-22
Combine 2x^{2} and -x^{2} to get x^{2}.
x^{2}+2x+14-22
Add 5 and 9 to get 14.
x^{2}+2x-8
Subtract 22 from 14 to get -8.
x^{2}-2x+1+\left(x+2\right)^{2}-\left(x-3\right)\left(x+3\right)-22
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{2}-2x+1+x^{2}+4x+4-\left(x-3\right)\left(x+3\right)-22
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
2x^{2}-2x+1+4x+4-\left(x-3\right)\left(x+3\right)-22
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}+2x+1+4-\left(x-3\right)\left(x+3\right)-22
Combine -2x and 4x to get 2x.
2x^{2}+2x+5-\left(x-3\right)\left(x+3\right)-22
Add 1 and 4 to get 5.
2x^{2}+2x+5-\left(x^{2}-9\right)-22
Consider \left(x-3\right)\left(x+3\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 3.
2x^{2}+2x+5-x^{2}+9-22
To find the opposite of x^{2}-9, find the opposite of each term.
x^{2}+2x+5+9-22
Combine 2x^{2} and -x^{2} to get x^{2}.
x^{2}+2x+14-22
Add 5 and 9 to get 14.
x^{2}+2x-8
Subtract 22 from 14 to get -8.
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}