SOLUTION: 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-10 C. y=3x2+3x-10 D. y=3x2+3x-30 I wo

Algebra ->  Functions -> SOLUTION: 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-10 C. y=3x2+3x-10 D. y=3x2+3x-30 I wo      Log On


   

Question 178892: 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-10
C. y=3x2+3x-10
D. y=3x2+3x-30
I would like you to show me the steps to solving this problem.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

y=highlighted%283%2A%28x%2B5%29%29%28x-2%29
expand 1st the highlighted, (or even the other side doesn't matter)
y=%283x%2B15%29%28x-2%29
expand again:
First terms:3x%2Ax=highlight%283x%5E2%29
Outside Terms:3x%2A-2=highlight%28-6x%29
Inside Terms:15%2Ax=highlight%2815x%29
Last terms:15%2A-2=highlight%28-30%29
Combine All terms:(highlighted)
3x%5E2-6x%2B15x-30=highlight%283x%5E2%2B9x-30%29, Answer (A)
Thank you,
Jojo