Evaluate
\left(2x-9\right)\left(2x+3\right)
Expand
4x^{2}-12x-27
Graph
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4x^{2}+12x+9-\left(2x+3\right)\times 12
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(24x+36\right)
Use the distributive property to multiply 2x+3 by 12.
4x^{2}+12x+9-24x-36
To find the opposite of 24x+36, find the opposite of each term.
4x^{2}-12x+9-36
Combine 12x and -24x to get -12x.
4x^{2}-12x-27
Subtract 36 from 9 to get -27.
4x^{2}+12x+9-\left(2x+3\right)\times 12
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(24x+36\right)
Use the distributive property to multiply 2x+3 by 12.
4x^{2}+12x+9-24x-36
To find the opposite of 24x+36, find the opposite of each term.
4x^{2}-12x+9-36
Combine 12x and -24x to get -12x.
4x^{2}-12x-27
Subtract 36 from 9 to get -27.
Examples
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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}