I really need help please.......

The steps to the simplifying the expression (3x^2 −2)(2x^2 +5x+7) are are listed below. Write out an explanation of how it is being simplified from one step to the next. Use at least 4 -5 complete sentences. Be sure that your explanation includes the following words:

-distribute or distribution or distributive property
-like terms
-binomial
-trinomial
-simplify

(3x^2-2)(2x^2+5x+7)
Step 1: (3x^2*2x^2)+(3x^2*5x)+(3x^2*7)-(2*2x^2)-(2*5x)-(2*7)
Step 2: (6x^4)+(15x^3)+(21x^2)-(4x^2)-(10x)-(14)
Step 3-answer:6x^4+15x^3+17x^2-10x-14