[Video] Q2: (2x^3 + 3x)(x^3 - 2x)which of the following is equivalent to the expression above?

Explanation for Question 2 From the Math (No Calc) Section on the 2019 October Sat

So for question two, there could be two reasons that you've missed this question. 2 Um, the first one could be that you really did have trouble with the 3 process of simplifying that expression. 4 Um, or the other one could be that you got confused because of what 5 seems to be a printing error. So I'm going to go through the process 6 real quick, right? If we're trying to simplify this expression, 7 what we need to do is we need to foil because we see that 8 these two expressions are being multiplied by each other. 9 So if I'm foiling, I do two X to the third times X to 10 the third, and that gives me two X to the sixth. 11 So since I'm starting with two X to the sixth, 12 I should immediately know that my best answer is going to be C because 13 it's the only answer choice that has two X to the sixth, 14 but I'll continue foiling as well. 15 Right? So two times two that goes, 16 give me plus four X to the third times X, 17 I add the exponents that is X to the fourth, 18 and then we'll foil out from the three X. 19 So that's three X to the fourth, right? 20 Because one plus three, it gives me an exponent of four, 21 then three times two that's plus six X squared. 22 So now if I combine like terms, we see that these two terms have 23 an exponent of four. So four plus three is seven, 24 and I can rewrite this as two X to the sixth plus seven X 25 to the fourth plus six X squared. 26 And so, um, another reason that you may have missed this question is not 27 because you weren't ...

All Test Answers +

Online SAT Prep Tutoring

1-on-1 SAT and ACT tutoring with an expert SoFlo Tutor via Zoom

BOOST MY SCORE