Two fractions havedenominators of x^2+ 6x + 9and x^2. What is the LeastCommon Denominator?

The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. It's also known as the lowest common denominator.

The denominators of two fractions are given as:

Factoring the first expression:

It's clear there is no common factor between both denominators. Such expressions and numbers are called to be coprime.

For example, 9 and 25 are coprime, but they are not prime numbers individually.

When two numbers or expressions are coprime, the LCD is just their product.

Therefore the Least Common Denominator is:

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )