Find each product : (4x+5)(4x-5)

Question

Accepted Answer

Hello today we're going to be simplifying an algebraic expression. So the algebraic expression given to us is two x minus two times the quantity two x plus two. So in order to multiply and simplify this, we're gonna do a process called foiling. And that's where we take the first number of this mono meal and multiply it with the first and last term of the second one and we take the second number negative two and multiply with the 1st and 2nd term of the mono meals. So two X times two X is going to give us four X squared and two X times positive two is going to give us positive for X. Now multiplying negative two with two X is going to give us negative for X and multiplying negative two with positive two is going to give us negative four. Now what we need to do is just go ahead and combine the like terms. The only like terms we can combine is positive and negative for X. Well four x minus four X is just going to cancel each other out. And what we are left with is four X squared minus four which is the simplest version of this algebraic expression. And that means that the answer to this problem is going to be D So I hope this video helps you in understanding how to foil two quantities together and I'll go ahead and see you all in the next video

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