a) HCF KaTeX parse error: KaTeX doesn't work in quirks mode. & LCM KaTeX parse error: KaTeX doesn't work in quirks mode.

b) HCF KaTeX parse error: KaTeX doesn't work in quirks mode. & LCM KaTeX parse error: KaTeX doesn't work in quirks mode.

c) HCF KaTeX parse error: KaTeX doesn't work in quirks mode. & LCM KaTeX parse error: KaTeX doesn't work in quirks mode.

d) HCF KaTeX parse error: KaTeX doesn't work in quirks mode. & LCM KaTeX parse error: KaTeX doesn't work in quirks mode.

correct answer is: b) HCF KaTeX parse error: KaTeX doesn't work in quirks mode. & LCM KaTeX parse error: KaTeX doesn't work in quirks mode.

Explanation

We know,
HCF = Highest Common Factor.
LCM = Least Common Multiple.
Now, the given monomials KaTeX parse error: KaTeX doesn't work in quirks mode. and KaTeX parse error: KaTeX doesn't work in quirks mode. can be factorised as follows:
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
We know that HCF is the highest common factor, so the HCF of KaTeX parse error: KaTeX doesn't work in quirks mode. and KaTeX parse error: KaTeX doesn't work in quirks mode. is:
HCF KaTeX parse error: KaTeX doesn't work in quirks mode.
Also, the LCM is the least common multiple, so the LCM of KaTeX parse error: KaTeX doesn't work in quirks mode. and KaTeX parse error: KaTeX doesn't work in quirks mode. is:
LCM KaTeX parse error: KaTeX doesn't work in quirks mode.
Ans: HCF is KaTeX parse error: KaTeX doesn't work in quirks mode. and LCM is KaTeX parse error: KaTeX doesn't work in quirks mode.