Evaluate
\left(x-6\right)\left(x+5\right)
Expand
x^{2}-x-30
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x^{2}-6^{2}-\left(x-6\right)
Consider \left(x+6\right)\left(x-6\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
x^{2}-36-\left(x-6\right)
Calculate 6 to the power of 2 and get 36.
x^{2}-36-x-\left(-6\right)
To find the opposite of x-6, find the opposite of each term.
x^{2}-36-x+6
The opposite of -6 is 6.
x^{2}-30-x
Add -36 and 6 to get -30.
x^{2}-6^{2}-\left(x-6\right)
Consider \left(x+6\right)\left(x-6\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
x^{2}-36-\left(x-6\right)
Calculate 6 to the power of 2 and get 36.
x^{2}-36-x-\left(-6\right)
To find the opposite of x-6, find the opposite of each term.
x^{2}-36-x+6
The opposite of -6 is 6.
x^{2}-30-x
Add -36 and 6 to get -30.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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}