SOLUTION: 16x^2(x+4) can be written as a product of 8(x+4) and what term? A)2x^2(x+4) B)16x(x+4) C)128x^2(x+4)^2 D)2x^2

Algebra ->  Finance -> SOLUTION: 16x^2(x+4) can be written as a product of 8(x+4) and what term? A)2x^2(x+4) B)16x(x+4) C)128x^2(x+4)^2 D)2x^2      Log On


   



Question 999791: 16x^2(x+4) can be written as a product of 8(x+4) and what term?
A)2x^2(x+4)
B)16x(x+4)
C)128x^2(x+4)^2
D)2x^2

Found 2 solutions by MathLover1, macston:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

compare 16x%5E2%28x%2B4%29 and 8%28x%2B4%29:
in 16x%5E2%28x%2B4%29 first term is 16x%5E2 and second term is %28x%2B4%29
in 8%28x%2B4%29 first term is 8 and second term is %28x%2B4%29
since second terms are equal, make first terms equal too
16x%5E2 will be equal to 8 only if we multiply it by 2x%5E2:8%2A2x%5E2=16x%5E2
then, 16x%5E2%28x%2B4%29 can be written as a product of 8%28x%2B4%29 and 2x%5E2
16x%5E2%28x%2B4%29=8%28x%2B4%29%282x%5E2%29
so, answer is:
D)2x%5E2

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Let Y=unknown term
.
16X%5E2%28X%2B4%29=%288%28X%2B4%29%2AY%29
16X%5E2%28X%2B4%29=8Y%28X%2B4%29.+Divide+by+%28X%2B4%29%0D%0A%7B%7B%7B16X%5E2=8Y . Divide by 8.
2X%5E2=Y
ANSWER: The unknown term is 2X%5E2.