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-12x-9
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-12x-9
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4x^{2}-\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}.
4x^{2}-4x^{2}-12x-9
To find the opposite of 4x^{2}+12x+9, find the opposite of each term.
-12x-9
Combine 4x^{2} and -4x^{2} to get 0.
4x^{2}-\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}.
4x^{2}-4x^{2}-12x-9
To find the opposite of 4x^{2}+12x+9, find the opposite of each term.
-12x-9
Combine 4x^{2} and -4x^{2} to get 0.
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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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