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