Evaluate
3-4x^{2}
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3-4x^{2}
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\frac{x\left(-x^{2}+2\right)}{x}-\frac{15x^{2}-5}{5}
Factor the expressions that are not already factored in \frac{-x^{3}+2x}{x}.
-x^{2}+2-\frac{15x^{2}-5}{5}
Cancel out x in both numerator and denominator.
-x^{2}+2-\left(3x^{2}-1\right)
Divide each term of 15x^{2}-5 by 5 to get 3x^{2}-1.
-x^{2}+2-3x^{2}+1
To find the opposite of 3x^{2}-1, find the opposite of each term.
-4x^{2}+2+1
Combine -x^{2} and -3x^{2} to get -4x^{2}.
-4x^{2}+3
Add 2 and 1 to get 3.
\frac{x\left(-x^{2}+2\right)}{x}-\frac{15x^{2}-5}{5}
Factor the expressions that are not already factored in \frac{-x^{3}+2x}{x}.
-x^{2}+2-\frac{15x^{2}-5}{5}
Cancel out x in both numerator and denominator.
-x^{2}+2-\left(3x^{2}-1\right)
Divide each term of 15x^{2}-5 by 5 to get 3x^{2}-1.
-x^{2}+2-3x^{2}+1
To find the opposite of 3x^{2}-1, find the opposite of each term.
-4x^{2}+2+1
Combine -x^{2} and -3x^{2} to get -4x^{2}.
-4x^{2}+3
Add 2 and 1 to get 3.
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}