00:01
We are being asked to foil the quantity 2y to the 5th plus 5 z, meaning we need to take 2y to the 5th, that's a terrible y, 2y to the 5th plus 5 z, and we need to multiply it by itself, another 2y to the 5th plus 5 z, making this a foiling problem.
00:26
Or, if you notice that this works for a special product formula, you could use that too.
00:32
To foil it out though.
00:34
First two terms, 2y to the fifth times 2 y to the fifth, 2 times y to the 5th, when we multiply like bases, we add the exponents, so 5 plus 5 would give us y to the 10th.
00:47
Outer two terms, 2y to the 5th times 5 z, 2 times 5 is 10, y to the 5th z is just going to be rewritten because those aren't like variables so we can't combine them into one thing.
01:00
Enter two terms, 5x times 2 y to the 5th, 5 times 2 is 10 again...