Find the LCD of the pair of expressions.
one half; Start Fraction 4 over x squared End Fraction
A. 4 x squared
B. 2 x squared
C. 2 x
D. x squared
Find the LCD of the pair of expressions.
Start Fraction 8 over 5 b End Fraction; Start Fraction 12 over 7 b-cubed c End Fraction
A. 7 b cubed c
B. 12 b cubed c squared
C. 35 b cubed c squared
D. Start Fraction a minus b + 2 over a b c cubed End Fraction
#1.
LCD(1/2, 4/x^2) = 2x^2
#2.
LCD(8/(5b) , 12/(7b^3 c)) = 35b^3 c
I suspect a typo
Thank you for catching that. Yes, you are correct that there was a typo in the first problem. The correct LCD for 1/2 and 4/x^2 is indeed 2x^2.
To find the least common denominator (LCD) of the pair of expressions, you need to identify the factors that are common to both expressions and include only the highest power of each factor.
The first expression, "one half," is already in its simplest form, and its denominator is 2.
The second expression, "Start Fraction 4 over x squared End Fraction," has a denominator of x squared.
To find the LCD, you need to consider the highest power of each factor. In this case, the common factor is 2. The second expression has a higher power of x squared, so you include that power in the LCD.
Therefore, the LCD of the pair of expressions is x squared multiplied by 2, which is written as "2 x squared."
So, the answer is option A. 4 x squared.