SOLUTION: Could you kindly advise regarding a story problem? With the formula A=P+Prt, my answer regarding rewriting the formula and factoring out the GCF on the right side, was p+(prt)= A.

Question 334249: Could you kindly advise regarding a story problem? With the formula A=P+Prt, my answer regarding rewriting the formula and factoring out the GCF on the right side, was p+(prt)= A. But I know I am not understanding this. Could you explain? Thank you so very much, in advance.
Found 2 solutions by rfer, solver91311:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
A=P(1+rt)
Does this look better to you?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

There are two terms in the RHS, namely and . Each of these terms consists of factors.

and

To have something in common means that two or more things share a characteristic. So a common factor is a factor that is shared by two or more terms. In this case, we are looking at the factor . Both terms also share the factor , but a factor of doesn't change anything, so we can ignore it. Notice the factors and in the second term are NOT shared by the first term. Hence the only significant factor, and therefore the greatest factor that both terms have in common is .

So, let's re-write the original equation:

Now, do you remember the distributive property that says:

Apply the principle here:

So we identified the GCF as the variable and then factored it out leaving . See?

John

My calculator said it, I believe it, that settles it

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