00:01
Hey guys, so here we have this subtraction problem where on the left side we have this fraction 4 over x plus 4 with this binomial x plus 4 in the denominator and we're subtracting x from it so our first step whenever we're subtracting something involving a fraction is to get common denominators but the way this is written x right now doesn't have a denominator so let's rewrite it to make it a little more clear where we're supposed to start we have 4 over x plus 4 minus what is x over naturally it will be over 1 because x or anything by itself is itself over 1.
00:36
So now we can get common denominators, and we're going to do that by multiplying the denominator on the right side to equal that on the left side.
00:45
So what can we multiply 1 by it equal x plus 4? we just multiply it by x plus 4 because 1 times anything will be the same, and then we're going to have to multiply the top by x plus 4 as well.
00:57
So let's simplify now that we have this common denominator that we found.
01:03
We have something over x plus 4 plus 4, well actually we haven't manipulated the first side at all so we know it's 4 over x plus 4.
01:11
That's what we started with, minus something over x plus 4.
01:16
So the common denominator comes in.
01:18
And on the top we're going to have to distribute because x plus 4 is a binomial and we're multiplying by x.
01:23
So we have to do x times x is x squared...