[Video] Q5: (x^2y -3y^2 + 5xy^2) - (-x^2y + 3xy^2 - 3y^2) which of the following is equivalent to the expression above?

Explanation for Question 5 From the Math (No Calc) Section on the Official Sat Practice Test 1

Now question number five is asking us, which of the following is equivalent to 2 the expression above when they say equal Evolent to the expression above, 3 they basically just want you to simplify all of this mess. 4 So the first thing we can notice is that there is a subtraction sign 5 right here in between our parentheses. So we can start by distributing that negative. 6 So what we have in the first set of parentheses will stay the same. 7 Let's move that down here for some more space. 8 And now we're just going to switch the sign of everything that's in our 9 second parentheses because of that negative right there. 10 So instead of minus, we'll be plus X squared, 11 Y minus three X Y squared, 12 plus three Y squared. And from here, 13 we can just combine like terms, right? So I have an X squared. 14 Oops. I have an X squared Y here, 15 and then I have another X squared Y here, 16 and one plus one is going to be two. So my final answer should 17 have a two X squared Y here I have a Y squared 18 and here I have a Y squared and negative three plus three is zero. 19 Right? So these actually just cancel each other out. 20 And then finally I have an X, Y squared and an X, 21 Y squared, and that's five minus three. So that's plus two X Y squared. 22 And so the answer that shows that is going to be C.