[Video] Q8: If 3x — 6y = 9z, which of the following expressions is equivalent to x —4xy+ 4y^2 ?

Explanation for Question 8 From the Math (No Calc) Section on the 2018 May Sat

Question eight says if three X minus six, 2 Y equals nine Z, which of the following expressions is equivalent to X squared, 3 minus four X plus four YZ. 4 So I'm going to start by taking this equation up here and I'm going 5 to simplify it by dividing both sides by three. 6 So that's going to give us X minus two, 7 Y is equal to three C. 8 So now that I have that simplified, I'm going to go to this bottom 9 equation and I'm going to factor it. And when I do that, 10 I get X minus two Y square. 11 So to figure out what, uh, 12 what value of which of the fine expressions is equivalent to this right here, 13 all we have to do is square, both sides of this equation. 14 And then we get nine Z squared, 15 which is the correct answer here. So the answer is.

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