Question

LCM of expression x²-1 and x²+2x+1​

Answer 1

Answer:

(x + 1)² (x - 1)

Step-by-step explanation:

Answer 2

Lcm=lowest common multiple

HCF=highest common factor

first expression,

x²-1

=(x)²-(1)²

=(x+1)(x-1)

second expression,

x²-2x+1

=(x)²-2×X×1+(1)²

=(x-1)²

=(x-1)(x-1)

hcf of this expressions=(x-1)

Lcm of this expressions=(x-1)²(x+1)

lcm of algebraic expressionTo find the LCM of given expressions, we proceed as follows:

1.Express each of the expressions as the product of its factors including prime factors where applicable.

2.Find the product of each factor with the highest power which occurs in the given expressions.

3.This product is the LCM.