Evaluate
\left(x-5\right)\left(x-4\right)
Expand
x^{2}-9x+20
Graph
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x^{2}+4x+4-13\left(x+2\right)+42
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{2}+4x+4-13x-26+42
Use the distributive property to multiply -13 by x+2.
x^{2}-9x+4-26+42
Combine 4x and -13x to get -9x.
x^{2}-9x-22+42
Subtract 26 from 4 to get -22.
x^{2}-9x+20
Add -22 and 42 to get 20.
x^{2}+4x+4-13\left(x+2\right)+42
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{2}+4x+4-13x-26+42
Use the distributive property to multiply -13 by x+2.
x^{2}-9x+4-26+42
Combine 4x and -13x to get -9x.
x^{2}-9x-22+42
Subtract 26 from 4 to get -22.
x^{2}-9x+20
Add -22 and 42 to get 20.
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}