Solve (3x^4+x^3)x^-1

$$( 3 x ^ { 4 } + x ^ { 3 } ) x ^ { - 1 }$$

Evaluate

$$\left(3x+1\right)x^{2}$$

Solution Steps

Use the distributive property to multiply 3x^{4}+x^{3} by x^{-1}.

$$3x^{4}x^{-1}+x^{3}x^{-1}$$

To multiply powers of the same base, add their exponents. Add 4 and -1 to get 3.

$$3x^{3}+x^{3}x^{-1}$$

To multiply powers of the same base, add their exponents. Add 3 and -1 to get 2.

$$3x^{3}+x^{2}$$

Expand

$$3x^{3}+x^{2}$$

Solution Steps

Use the distributive property to multiply 3x^{4}+x^{3} by x^{-1}.

$$3x^{4}x^{-1}+x^{3}x^{-1}$$

To multiply powers of the same base, add their exponents. Add 4 and -1 to get 3.

$$3x^{3}+x^{3}x^{-1}$$

To multiply powers of the same base, add their exponents. Add 3 and -1 to get 2.

$$3x^{3}+x^{2}$$