How to simplifiy? please include step by step isntructions? Thanks.!

Question

(3x+5)(2x-7) would be helpful if someone showed 2 ways to doing it.

thanks again!

Answer 1

To simplify this equation, we just need to multiply the 2 sides together.

(3x+5)(2x-7)

The easiest way to do this is to multiply the terms of each side one by one.

1) Multiply the first term in the first parentheses (3x+5) by the first term of the second set (2x-7)

      3x*2x=6x²    because 3*2=6 and x*x=x²

2) Then Multiply the second term in the first parentheses (3x+5) by the first term in the second set (2x-7)

      5*2x=10x

3)Then multiply the first term in the first parentheses (3x+5) by the second term of the second set (2x-7).

      3x*-7=-21x

4)Then, multiply the second term in the first parentheses (3x+5) by the second term of the second set (2x-7)

      5*-7=-35

 * Note - you can do these operations in any order and get the same results as long as all terms are included.

5) Next, add all of the products from the above steps together.

      6x² + 10x + (-21x) + (-35)  (parentheses only added to make negative numbers clearer)

6) Now we combine like terms.

 6x² is the only x² term so it stays the same.  10x + (-21x) = -11x  -35 is the only term without x, so it stays the same.

this gives us a final answer of 

6x²-11x-33