Question

Find HCF and LCM: x2-4 and 3x+6

Answer 1

Step-by-step explanation:

Given,

x²-4 = (x+2)(x-2)

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

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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