Evaluate
3\left(x^{2}-9\right)
Expand
3x^{2}-27
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4x^{2}+12x+9-\left(x+6\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+3\right)^{2}.
4x^{2}+12x+9-\left(x^{2}+12x+36\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
4x^{2}+12x+9-x^{2}-12x-36
To find the opposite of x^{2}+12x+36, find the opposite of each term.
3x^{2}+12x+9-12x-36
Combine 4x^{2} and -x^{2} to get 3x^{2}.
3x^{2}+9-36
Combine 12x and -12x to get 0.
3x^{2}-27
Subtract 36 from 9 to get -27.
4x^{2}+12x+9-\left(x+6\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+3\right)^{2}.
4x^{2}+12x+9-\left(x^{2}+12x+36\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
4x^{2}+12x+9-x^{2}-12x-36
To find the opposite of x^{2}+12x+36, find the opposite of each term.
3x^{2}+12x+9-12x-36
Combine 4x^{2} and -x^{2} to get 3x^{2}.
3x^{2}+9-36
Combine 12x and -12x to get 0.
3x^{2}-27
Subtract 36 from 9 to get -27.
Examples
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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
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