elyonnahpabalinas
elyonnahpabalinas elyonnahpabalinas
  • 23-09-2021
  • Mathematics
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What polynomial can be factored to give (a + 4) ( a - 4) ?​

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AMIM14
AMIM14 AMIM14
  • 23-09-2021

Answer:

(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)

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