The idea of grouping is to get the terms in groups that allow you to factor out from each group something that becomes a factor in itself, leaving two factors behind that are alike. Like this: rearrange those terms so they are in this order:
(-70y^2 - 63xy) + (90x^3 + 100yx^2). Now out of the first set we are going to factor out a -7y, and out of the second set we are going to factor out a 10x^2. When we do this, this is what we get: -7y(10y + 9x) + 10x^2(9x + 10y). As you can see, what's inside both sets of parenthesis is the same, just in a different order. We can factor that out now, leaving (9x + 10y)(10x^2 - 7y). And that is factored by grouping.
Answer:
The music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
Step-by-step explanation:
A school chorus has 90 sixth-grade students and 75 seventh-grade students.
Factor these two numbers:
Find GCF(90,75):
Now,
Therefore, the music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
I believe that the answer is A.)264
