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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"i dont slay i slaughter, luke i am your father..." ~fatherfig
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.
The most important thing is to preserve the world we live in. Unless people understand and learn about our world, habitats, and animals, they won't understand that if we don't protect those habitats, we'll eventually destroy ourselves. — Jack Hanna
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