Question

simiplify (x-2)(x+2)(x^2+4)(x^4+16)

Answer 1

Answer:

(x⁸-256)

Step-by-step explanation:

(x-2)(x+2)(x²+4)(x⁴+16)

((x)²-(2)²)(x²+4)(x⁴+16)

(x²-4)(x²+4)(x⁴+16)

((x²)²-(4)²)(x⁴+16)

(x⁴-16)(x⁴+16)

((x⁴)²-(16)²)

(x⁸-256)

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Answer 2

Answer:

=(x^8-256)

Step-by-step explanation:

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

=(x²-4)(x²+4)(x^4+16) [∵(a+b)(a-b)=a²-b²]

=(x^4-16)(x^4+16) [∵(a+b)(a-b)=a²-b²]

=(x^8-256) [∵(a+b)(a-b)=a²-b²]