Solve 3x^{2}+4x^{2}-2x^2*(-3x)-(4x^3+x^2-2x*x^2)=

$$3 x ^ { 2 } + 4 x ^ { 2 } - 2 x ^ { 2 } \cdot ( - 3 x ) - ( 4 x ^ { 3 } + x ^ { 2 } - 2 x \cdot x ^ { 2 } ) =$$

Evaluate

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

Solution Steps

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

$$3x^{2}+4x^{2}-2x^{3}\left(-3\right)-\left(4x^{3}+x^{2}-2xx^{2}\right)$$

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

$$3x^{2}+4x^{2}-2x^{3}\left(-3\right)-\left(4x^{3}+x^{2}-2x^{3}\right)$$

Combine 3x^{2} and 4x^{2} to get 7x^{2}.

$$7x^{2}-2x^{3}\left(-3\right)-\left(4x^{3}+x^{2}-2x^{3}\right)$$

Multiply 2 and -3 to get -6.

$$7x^{2}-\left(-6x^{3}\right)-\left(4x^{3}+x^{2}-2x^{3}\right)$$

The opposite of -6x^{3} is 6x^{3}.

$$7x^{2}+6x^{3}-\left(4x^{3}+x^{2}-2x^{3}\right)$$

Combine 4x^{3} and -2x^{3} to get 2x^{3}.

$$7x^{2}+6x^{3}-\left(2x^{3}+x^{2}\right)$$

To find the opposite of 2x^{3}+x^{2}, find the opposite of each term.

$$7x^{2}+6x^{3}-2x^{3}-x^{2}$$

Combine 6x^{3} and -2x^{3} to get 4x^{3}.

$$7x^{2}+4x^{3}-x^{2}$$

Combine 7x^{2} and -x^{2} to get 6x^{2}.

$$6x^{2}+4x^{3}$$

Expand

$$4x^{3}+6x^{2}$$

Solution Steps

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

$$3x^{2}+4x^{2}-2x^{3}\left(-3\right)-\left(4x^{3}+x^{2}-2xx^{2}\right)$$

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

$$3x^{2}+4x^{2}-2x^{3}\left(-3\right)-\left(4x^{3}+x^{2}-2x^{3}\right)$$

Combine 3x^{2} and 4x^{2} to get 7x^{2}.

$$7x^{2}-2x^{3}\left(-3\right)-\left(4x^{3}+x^{2}-2x^{3}\right)$$

Multiply 2 and -3 to get -6.

$$7x^{2}-\left(-6x^{3}\right)-\left(4x^{3}+x^{2}-2x^{3}\right)$$

The opposite of -6x^{3} is 6x^{3}.

$$7x^{2}+6x^{3}-\left(4x^{3}+x^{2}-2x^{3}\right)$$

Combine 4x^{3} and -2x^{3} to get 2x^{3}.

$$7x^{2}+6x^{3}-\left(2x^{3}+x^{2}\right)$$

To find the opposite of 2x^{3}+x^{2}, find the opposite of each term.

$$7x^{2}+6x^{3}-2x^{3}-x^{2}$$

Combine 6x^{3} and -2x^{3} to get 4x^{3}.

$$7x^{2}+4x^{3}-x^{2}$$

Combine 7x^{2} and -x^{2} to get 6x^{2}.

$$6x^{2}+4x^{3}$$