00:01
Alright in this problem we have to select all the expressions that are equivalent to negative two fifths being multiplied by fifteen minus twenty d plus five c.
00:12
Now this is the distributive property and what that means is that we multiply this negative two fifths times every term inside of the parentheses.
00:20
So when we do that there is a convenient method.
00:23
Now when we multiply by a fraction what that means is we're going to divide by the bottom number and we're going to multiply by the top number.
00:30
So if i do fifteen divided by five that gives me three.
00:33
Three times two is going to be six so with the negative as well it's going to be negative six.
00:39
Negative six and then our next term will be twenty divided by five is four.
00:45
Four times two is eight and then the negative times negative is going to be plus.
00:49
So we'll have plus eight d and then finally we have five divided by five is one.
00:55
One times two is two and then our positive times negative is going to be minus.
01:00
So we'll have minus two c.
01:02
So that's what we have after we distribute.
01:06
After we distribute let me get rid of that right there.
01:09
There we go.
01:09
So we'll have minus two c right there.
01:13
So we have negative six plus eight d minus two c and that's going to be equivalent to the first expression.
01:20
That's obviously what we got.
01:21
And then we have negative two c plus eight d minus six is going to be the same...