how do you show the work to get from this y=3(x+5(x-2),to thisy=3x2+9x-30

Question

I'm studying for a test and i do not know how to show the work for this problem,

Consider the following formula: y = 3 ( x + 5 ) ( x - 2 )
Which of the following formulas is equivalent to this one?

 

A. y=3x2+9x-30
B. y=x2+3x-lO
C. y=3x2+3x-lO
D. y=3x2+3x-30

Answer 1

According to the Assosiative Property of Multiplication:

you can multiply the any of the two in these three terms then multiply their product to the another one so:

y = 3 ( x + 5 ) ( x - 2 )

y = 3 (X2 + 3X - 10)

y = 3x2 + 9x - 30

 

the answer is A. y=3x2+9x-30