We want to find the expression where the numerator of fraction 1 = denominator of fraction 2, AND the denominator of fraction 1 = numerator of fraction 2.
In other words, regardless of what x and y stand for, it should look like (x/y)(y/x)
That way, we can simplify all the expressions to be (1/1)(1/1) -> (1)(1) -> 1.
When you're faced with something you don't understand, I think the most natural thing but also least interesting thing you can be is afraid.
this one stumped me bc i was doing to quotient ones i understood (due to your awesome teaching skills) while i was waiting, but it seemed more complex and confused me, do you do the same thing?
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Hmm so when we do the flippity-trickity we get: 4m^12/(x+1) * 8m^3/x^2
There isn't anything in common between the numerator of 1 and the denominator of 2 or vice versa, so we can't do the simplify or cross-out trick here. That means we just have to multiply the numerators and the denominators as they are.
numerators: 4m^12 * 8m^3 = 32m^15
denominators: (x + 1) * x^2 = x^3 + x^2
smush 'em back together and we get: 32m^15/(x^3 + x^2), or option #4!
edit: oops didn't see Niv's response ^^
When you're faced with something you don't understand, I think the most natural thing but also least interesting thing you can be is afraid.
