Evaluate
\left(1-2x\right)\left(2x+7\right)
Expand
7-12x-4x^{2}
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16-\left(2x+3\right)^{2}
Multiply 2x+3 and 2x+3 to get \left(2x+3\right)^{2}.
16-\left(4x^{2}+12x+9\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+3\right)^{2}.
16-4x^{2}-12x-9
To find the opposite of 4x^{2}+12x+9, find the opposite of each term.
7-4x^{2}-12x
Subtract 9 from 16 to get 7.
16-\left(2x+3\right)^{2}
Multiply 2x+3 and 2x+3 to get \left(2x+3\right)^{2}.
16-\left(4x^{2}+12x+9\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+3\right)^{2}.
16-4x^{2}-12x-9
To find the opposite of 4x^{2}+12x+9, find the opposite of each term.
7-4x^{2}-12x
Subtract 9 from 16 to get 7.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}