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8x^{2}+13
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8x^{2}+13
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Quiz
Polynomial
5 problems similar to:
6 ( x ^ { 2 } + 4 ) - 3 ( x ^ { 2 } + 7 ) + 5 ( x ^ { 2 } + 2 )
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6x^{2}+24-3\left(x^{2}+7\right)+5\left(x^{2}+2\right)
Use the distributive property to multiply 6 by x^{2}+4.
6x^{2}+24-3x^{2}-21+5\left(x^{2}+2\right)
Use the distributive property to multiply -3 by x^{2}+7.
3x^{2}+24-21+5\left(x^{2}+2\right)
Combine 6x^{2} and -3x^{2} to get 3x^{2}.
3x^{2}+3+5\left(x^{2}+2\right)
Subtract 21 from 24 to get 3.
3x^{2}+3+5x^{2}+10
Use the distributive property to multiply 5 by x^{2}+2.
8x^{2}+3+10
Combine 3x^{2} and 5x^{2} to get 8x^{2}.
8x^{2}+13
Add 3 and 10 to get 13.
6x^{2}+24-3\left(x^{2}+7\right)+5\left(x^{2}+2\right)
Use the distributive property to multiply 6 by x^{2}+4.
6x^{2}+24-3x^{2}-21+5\left(x^{2}+2\right)
Use the distributive property to multiply -3 by x^{2}+7.
3x^{2}+24-21+5\left(x^{2}+2\right)
Combine 6x^{2} and -3x^{2} to get 3x^{2}.
3x^{2}+3+5\left(x^{2}+2\right)
Subtract 21 from 24 to get 3.
3x^{2}+3+5x^{2}+10
Use the distributive property to multiply 5 by x^{2}+2.
8x^{2}+3+10
Combine 3x^{2} and 5x^{2} to get 8x^{2}.
8x^{2}+13
Add 3 and 10 to get 13.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}