Part A) 2y(x³+6x-2x²-12)
Part B) 2y(x²+6)(x-2)
Explanation:
Part A) The GCF of the coefficients is 2, as the smallest coefficient is 2 and they are all even. The only variable that is in all 4 terms is y, so the GCF is 2y. Factoring this out of the first term leaves us with x³; from the second term leaves us 6x; from the third term leaves us -2x²; and from the last term leaves us -24.
Part B) Once the GCF is factored out, we group the remaining factor in parentheses, the first two terms together and the last two together:
2y[(x³+6x)+(-2x²-12)]
Take the GCF out of each group:
2y[x(x²+6)+-2(x²+6)]
Factor out what both have in common, x²+6:
2y(x²+6)(x-2)
Answer:
Step-by-step explanation:
A dessert recipe calls for 2 1/2cups of milk and makes 5 servings. How many cups of milk are needed for 6 servings?
If 2.5 cups of milk = 5servings
x =6 servings
x=(2.5×6)/5=3
For 6 servings, 3 cups of milk are needed
12 less than the amount y divided by 2 is (Y/2)-12
Mr.chen drove 23 miles south from where he started. 3.25×50=162.5 is what you have to do first because it said that he drove north for 3.25 hours and each hour he drives for 50 miles. Then you have to subtract 162.5 from 185.5 so that you get how far he drove from where he started. 185.5 - 162.5= 23. So he drove 23 miles south from where he started. I hope this helps.
Answer: the perimeter is about 7 if you look at it
Step-by-step explanation: