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Perform the indicated operations.

$$(2 m+1)\left(4 m^{2}-2 m+1\right)$$

$(2 m+1)\left(4 m^{2}-2 m+1\right)=8 m^{3}+1$

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Mary T.

March 11, 2021

(7mÂł+2m-3)-2(4mÂł-mÂ˛+1)

Mary T.

March 11, 2021

Numerade Educator

Campbell University

Harvey Mudd College

Idaho State University

today is to multiply these two problems together. So you see, we are buying you with two times multiplied by trying on you with three. This is a little unusual. We've already committed with motor play binomial times by your meal using the popular boiled technique which stands the first out in a lot. We're gonna do an extended version of that, given that we have a binomial on a try. No meal rather than just a binomial time to buy. So we start in the same way First times for us to end Export square. This will give it. Hey, that cute two and times negative too. Okay, get his negative Forum Square. You could think about this, but middle. Okay, we're gonna do bust. That's the last time. Here. Give us to, uh we're just gonna repeat this procedure using the second. So this positive one times this four square it is positive for square get lost in the City Times Middle. It is my two. His life positive. One thing, Father. He was a plus one on the end here. So it's just like the oil technique except with a couple of extra tenants. Yeah. Okay. Now we're gonna look at this polynomial that we've got it all. The prince, he's gonna We're just gonna combine the like So we look through this and we see there's only cute, Thank you. Cross it at once. We're done with that. Now we're next in the line, which will be the square. So we've got negative form. Split was four square. And at those together, those will actually cancel. Know every square that will be the end to the power ones. Positive. Too Negative. Two goes canceled. The only time we have left in this sequence it's the plus one in the this makes up a solution to this expansion. So this binomial Texas tryingto results in another part of your cubic, which is just a binomial both of you never examined. Might notice that this is actually the sound to cues. Very eight and cubed could be written. This something cubed. One could be written something cute. Okay, so we called the special relationship to sum of two cubes. But that's another video for another day. Thank you very much for your time. Well,

Southern Methodist University

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