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9-19x
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4x^{2}+12x+9-x\left(4x+31\right)
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(4x^{2}+31x\right)
Use the distributive property to multiply x by 4x+31.
4x^{2}+12x+9-4x^{2}-31x
To find the opposite of 4x^{2}+31x, find the opposite of each term.
12x+9-31x
Combine 4x^{2} and -4x^{2} to get 0.
-19x+9
Combine 12x and -31x to get -19x.
4x^{2}+12x+9-x\left(4x+31\right)
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(4x^{2}+31x\right)
Use the distributive property to multiply x by 4x+31.
4x^{2}+12x+9-4x^{2}-31x
To find the opposite of 4x^{2}+31x, find the opposite of each term.
12x+9-31x
Combine 4x^{2} and -4x^{2} to get 0.
-19x+9
Combine 12x and -31x to get -19x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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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}