00:01
So in this problem, we are simplifying 3x to the third times in parentheses the polynomial x to the fourth minus 4x squared plus 5.
00:16
So the only really major step in simplifying this down all the way to get our final answer is by using the distributive properties.
00:26
So we have to remember, distributive property.
00:31
So we're just basically, so this is our major step, or major part, what property we're going to use to solve it out.
00:39
So basically, we just have to remember we have this term outside, three times x squared, i mean cubed, my bad.
00:47
And we're just simply multiplying it to each of the terms in this polynomial, trinomial in the parentheses.
00:57
All right.
00:58
So now that we understand that, so that basically, if we distribute it to each of the terms, it gets us x to the fourth times three times x to the third plus negative 4x squared times 3x cubed.
01:16
And finally, plus in the parentheses five times three x cubed.
01:21
So i left it like this.
01:22
That's easier to solve it.
01:23
Get to the final.
01:25
So now we're just going to multiply each of this out.
01:29
So we have this first.
01:31
We have, so x to the 4 times 3 times x to the 3.
01:36
So if we look at just the x terms, that means x to the 4 times x to the 3rd.
01:43
And that basically means x to the 4 times x to the 3, which is basically equal to x to 4 plus 3.
01:59
To the 4 plus 3...