Find the LCM of x+2 and x-2
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Answer:
x square -4=x square -2 square
by using the formula odd a square -b square
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Step-by-step explanation:
First expression = a2 + a
= a(a + 1), by taking common ‘a’
Second expression = a3 - a
= a(a2 - 1), by taking common ‘a’
= a(a2 – 12), by using the formula of a2 – b2
= a(a + 1) (a - 1), we know a2 – b2 = (a + b) (a – b)
The common factors of the two expressions are ‘a’ and (a + 1); (a - 1) is the extra factor in the second expression.
Therefore, the required L.C.M. of a2 + a and a3 – a is a(a + 1) (a - 1)
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