Question

How do you combine like terms in `2x ^ { 4} ( 5x ^ { 3} + 4x ^ { 2} - 6) + 7x ^ { 3} ( - 3x ^ { 4} - 2x ^ { 3} + 4)`?

Answer 1

`-11x^7-6x^6-12x^4+27x^3`

Explanation:

Step 1. Distribute the `2x^4` and `7x^3` terms through
`10x^4x^3+8x^4x^2-12x^4-21x^3x^4-14x^3x^3+27x^3`

Step 2. Add all the exponents so that `x^ax^b=x^(a+b)`
`10x^7+8x^6-12x^4-21x^7-14x^6+27x^3`

Step 3. Combine all your like terms
`-11x^7-6x^6-12x^4+27x^3`