Question

(x+4)(x-4)(x^2+16 solve this problem​

Answer 1

Answer : (x^4 - 256)

$(x + 4)(x - 4)( {x}^{2} + 16)$

Using, a^2 - b^2 = (a+b) (a-b)

(x+4)(x-4) = (x) ^2 - (4)^2

Now,

(x) ^2 - (4)^2 = x^2 - 16

Then,

(x^2 - 16) (x^2+16)

Using a^2 - b^2 = (a+b) (a-b) again, we get -

(x^2 - 16) (x^2+16) = (x^4 - 256)

Hence, the answer is - (x^4 - 256)

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