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3\left(-x^{3}\right)x^{4}-2\left(-x^{3}\right)
Use the distributive property to multiply -x^{3} by 3x^{4}-2.
3\left(-x^{3}\right)x^{4}+2x^{3}
Multiply -2 and -1 to get 2.
-3x^{3}x^{4}+2x^{3}
Multiply 3 and -1 to get -3.
-3x^{7}+2x^{3}
To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.
3\left(-x^{3}\right)x^{4}-2\left(-x^{3}\right)
Use the distributive property to multiply -x^{3} by 3x^{4}-2.
3\left(-x^{3}\right)x^{4}+2x^{3}
Multiply -2 and -1 to get 2.
-3x^{3}x^{4}+2x^{3}
Multiply 3 and -1 to get -3.
-3x^{7}+2x^{3}
To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.