Question

Find the lcm and hcf of the x^2 - 4 and x^4 - 16

Answer 1

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 .

Hope helped!

Answer 2

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