Question

find the lcm x*2-4 and x*4-16​

Answer 1

Answer:

Step-by-step explanation:

Given,

x²-4 = (x+2)(x-2)

{x}^{4}  - 16 =  ({x}^{2} ) ^{2}  - ( {4})^{2}  \\  = (x ^{2}  + 4)(x + 2)(x - 2)

Now, HCF = Common factors = (x+2)(x-2) = x²-4 .

LCM = Common factors * Uncommon terms = (x²+4)(x+2)(x-2) = x^4 - 16 .

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