Question

Please help find the LCD of thisss

Answer 1

Answer:

(x + 2)(x + 2)(2 - x), or (x + 2)^2(2-x)

Step-by-step explanation:

Find the LCD of the following fractions:  

       7                         5

------------------ ,     ---------------

x^2 + 4x + 4            4 - x^2

To do this, factor both denominators, obtaining:

       7                         5

------------------ ,     -----------------

    (x + 2)^2            (2-x)(2+x)

These two denominators have one factor in common:  x + 2.

The LCD is the product of this common factor and each of the non-common factors:

(x + 2)(x + 2)(2 - x), or (x + 2)^2(2-x)