SOLUTION: Can u show me the steps to do this equations please (6q + 5r)(7q - 12r) I one it's = 42q^2 - 37rq - 60r^2 But how do you get 37rq Thanks for helping:)

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Can u show me the steps to do this equations please (6q + 5r)(7q - 12r) I one it's = 42q^2 - 37rq - 60r^2 But how do you get 37rq Thanks for helping:)      Log On


   

Question 745163: Can u show me the steps to do this equations please
(6q + 5r)(7q - 12r)
I one it's = 42q^2 - 37rq - 60r^2
But how do you get 37rq
Thanks for helping:)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Use the idea that

(a+b)(c+d) = a(c+d) + b(c+d)

to get this:

(6q + 5r)(7q - 12r)

6q(7q - 12r) + 5r(7q - 12r)

6q(7q) + 6q(-12r) + 5r(7q) + 5r(-12r)

42q^2 - 72rq + 35rq - 60r^2

42q^2 + (-72rq + 35rq) - 60r^2

42q^2 + (-72 + 35)rq - 60r^2

42q^2 - 37rq - 60r^2

Final Answer: 42q^2 - 37rq - 60r^2