(ii) निम्नलिखित राशियों का म० स० प० तथा ल० स०प० निकाले- x-4x, 4(x-5x+6), (x-4x+4)
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Step-by-step explanation:
factors of x3-4x
=x(x2-4)
=x(x-2)(x + 2)
Factors of 4(x2-5x + 6)
=4(x2-3x-2x + 6)
=4{x(x-3)-2(x-3)}
=4(x-2)(x-3)
Factors of (x2-4x + 4)
=(x-2)2
LCM is the lowest common multiple, which is the product of all the common factors taken once and the remaining factors as it is.
∴ the LCM of x3-4x, 4(x2-5x + 6),(x2-4x + 4) is 4x(x-3)(x + 2)(x-2)2
GCD is the greatest common divisor, which is equal to the product of all the common divisors.
∴ the GCD is (x-2)
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