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Multiply: $(3 x-2)^{3}$...

Question

Multiply: $(3 x-2)^{3}$

Multiply: $(3 x-2)^{3}$



Answers

Multiply. $$ \left(x^{2}-1\right) \cdot \frac{x-2}{3 x+3} $$

Are asked to multiply three x with two x squared minus three x less boy. So this means we need to distribute our three extent the true expert, the negative three X and before, which means this is going to equal three x times two X squared plus three x times Negative three X plus three X times for so now we just multiply each term. So this is going to be six x huge that's going to be naked of nine x squared and the last term is going to be 12. Thanks.

We're asked to multiply three x squared plus one all squared. So this is just three x squared, plus one times three x squared, plus one. So which means, um, we have the foil this so it will be first outside inside. Unless still we can rewrite this as three X squared times three x squared. That's the first plus three square time with one that's the outside plus one times three excrete. That's the inside and one plus one, which is the last. So now, with the dermal duplications, this is going to be nine extra power for plus three x squared plus three X squared plus one combined the two middle terms, which is six x squared, plus one. So that's your final answer.

We want to expand X Plus two. Okay, so let's rewrite this. This is just X plus two tying effects. Plus two times Express to Okay, So, uh, to make this easier where you can dio as you can do this first, still do this multiplication first and then leave the second the second factor as it is. Hey, so I am going to write this as this is equal to, so I'm going to solve what, X plus two times X plus two is So this requires me of oil. Well, ex ex ex, The 22 to the eggs to the two. So that will give me X squared. Plus two x plus two legs was for thanks which has equal to X squared plus four X plus four. But this is only the blue part. I haven't done anything with this term. So which means I need to move it down, so I'm still multiply it by the X plus two, which I haven't done yet. So now I have two things multiply together. And so now I do the same thing I would distribute. So I would take this, distribute, distribute this distribute, distribute and then take us four. Also, distribute this driving. Okay, so that rings. I will end up with X squared times x x squared times two borax time X four x times two war times x on four times two So this ends up being executed. Plus you, expert Plus we're X squared plus eight eggs plus four x plus eight basil, then same thing. I'm going to come by like germs that this is going to be X Q plus six expired, plus Alexe plus eight.

So we want to multiply. Three x Plus four progress. Three. Felix Let's expand that out. That's going to be three x plus four times re X plus four finals. The explosive force. So I am going to multiply these two together first. So that is going to give me three x times, three x So that's nine X cred Rex Time's wore. That's 12 ax, four times three X that's going to be 12 x, you know, four times for which is 16. Then I'm going to combine these two middle terms. Lana, but nine X squared plus 24 X plus 16. And don't forget, Since I didn't do anything with 1/3 term, I have to bring it down. Hate. So now I'm multiplying these two factors together. So this is going to be I'm going to take my nine X grade distributed to each of the two turns in the second factor. Well being on expert times three eggs and the nine X squared times for No. I do the same thing with the 24 x 24 x Times three x 24 x Times four And lastly, I do the exacting being with a 16 16 times, three x 16 times four case and now it's time to multiply them all together. So this is nine times three. That's going to be 27. X Cube will be 36 x cred. This is going to be a 72 x squared that's going to be 96 x, that'll be 48 x, and the last one is going to be 64. And then I'm going to come by my like turns. So 27 x cube that only turned with X games with. That stays as it is, as were the X squared. I have two terms of the 36 a 72. I'm gonna add them together and I'll get 108 explored. And as for the term with acts, I have two of them. I have 63. I have 96 48 so that will give me 144 next and then my class in terms. It's just the 64


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