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-31x^{4}-12
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-31x^{4}-12
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3x^{3}\times 2\left(-5\right)x-\left(x^{4}+12\right)
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
3x^{4}\times 2\left(-5\right)-\left(x^{4}+12\right)
To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.
6x^{4}\left(-5\right)-\left(x^{4}+12\right)
Multiply 3 and 2 to get 6.
-30x^{4}-\left(x^{4}+12\right)
Multiply 6 and -5 to get -30.
-30x^{4}-x^{4}-12
To find the opposite of x^{4}+12, find the opposite of each term.
-31x^{4}-12
Combine -30x^{4} and -x^{4} to get -31x^{4}.
3x^{3}\times 2\left(-5\right)x-\left(x^{4}+12\right)
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
3x^{4}\times 2\left(-5\right)-\left(x^{4}+12\right)
To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.
6x^{4}\left(-5\right)-\left(x^{4}+12\right)
Multiply 3 and 2 to get 6.
-30x^{4}-\left(x^{4}+12\right)
Multiply 6 and -5 to get -30.
-30x^{4}-x^{4}-12
To find the opposite of x^{4}+12, find the opposite of each term.
-31x^{4}-12
Combine -30x^{4} and -x^{4} to get -31x^{4}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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