Question

51) Find the LCM of the polynomials 5(x³-y³) and 35(x⁶-y⁶)


pls answer properly with clear steps
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Answer 1

Answer:

(x+y)³=x³+y3+3xy(x+y)

or 5³=35+3xy(5)

or 125−35=15xy

or xy=1590=6

Now, (x−y)2=(x+y)2−4xy

=52−4×6

=25−24=1

∴x−y=1=±1

Answer 2

LCM of

5(x³-y³) and 35(x⁶-y⁶)

is

5(x³-y³) .