Question

What polynomial can be factored to give (a + 4) ( a - 4) ?​

Answer 1

(a+4)(a-4)=a²-4² ITS LIKE THIS BECAUSE ITS AN IDENTITY,

⇒a²-16

Even when we solve it by the regular method of solving polynomials we get a²-16 as answer as there and thats the proof for the identity.

(a+b)(a-b)=a(a-4)+4(a-4)

⇒a²-4a+4a-16

⇒a²-16[NOTE:-4a+4a=0]

Thus we can see that a²-16 is the answer we get when we try to solve it by regular polynomial solution tooo.

And a²-16 is the polynomial from which we get (a+4)(a-4)