6-1-69 dividing rational expressions
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In this problem, we're going to factor everything completely.
So X ^2 -, 40, ninth, the difference of two squares X -,
7, X plus seven, X ^2 -, 12, X plus 36 factors in the X -, 6
and X -, 6.
We're going to divide by A7 will come out of the next terms
numerator.
So seven times the quantity X - 7, and then the denominator
factors in the X + 4 and X - 6.
It has to be a + 4 to -6 because when I add those two together, I
needed that -2 in the middle.
Once I've done this, then I'm going to flip the second term.
One way we think about it is skip, flip, and multiply.
So we skipped the first term.
We flipped the second term, and then we multiply them so the X -
7 on top and bottom cancel and the X - 6 cancel.
And that leaves us X + 7 X plus 4 / 7 * X - 6.