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6x^{2}+2
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6x^{2}+2
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x^{3}+3x^{2}+3x+1-\left(x-1\right)^{3}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+1\right)^{3}.
x^{3}+3x^{2}+3x+1-\left(x^{3}-3x^{2}+3x-1\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-1\right)^{3}.
x^{3}+3x^{2}+3x+1-x^{3}+3x^{2}-3x+1
To find the opposite of x^{3}-3x^{2}+3x-1, find the opposite of each term.
3x^{2}+3x+1+3x^{2}-3x+1
Combine x^{3} and -x^{3} to get 0.
6x^{2}+3x+1-3x+1
Combine 3x^{2} and 3x^{2} to get 6x^{2}.
6x^{2}+1+1
Combine 3x and -3x to get 0.
6x^{2}+2
Add 1 and 1 to get 2.
x^{3}+3x^{2}+3x+1-\left(x-1\right)^{3}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+1\right)^{3}.
x^{3}+3x^{2}+3x+1-\left(x^{3}-3x^{2}+3x-1\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-1\right)^{3}.
x^{3}+3x^{2}+3x+1-x^{3}+3x^{2}-3x+1
To find the opposite of x^{3}-3x^{2}+3x-1, find the opposite of each term.
3x^{2}+3x+1+3x^{2}-3x+1
Combine x^{3} and -x^{3} to get 0.
6x^{2}+3x+1-3x+1
Combine 3x^{2} and 3x^{2} to get 6x^{2}.
6x^{2}+1+1
Combine 3x and -3x to get 0.
6x^{2}+2
Add 1 and 1 to get 2.
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Linear equation
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}