<span>A) The least common denominator is 20p
.
B) The first fraction rewritten with the LCD is (20p² +30) / 20p²
C) The second fraction rewritten with the LCD is (4p - 4) / 20p
D) The sum is (24p² -4p +30 ) / 20p² = (12p-2p+15) / 10p^2
E) The sum is a rational expression.
This is the result for each statement.
</span> <span>A) The least common denominator is 20p
FALSE: THE LCD IS 20p², because it the least expression that contains all the prime factors of both denominators: 4p² and 10p.
See that you cannot divide 20p by 4p² but you can divide 20p² by 4p² and 10 p. So, 20p is not a common denominator.
. B) The first fraction rewritten with the LCD is (20p² +30) / 20p²
TRUE: you get this expression from the first fraction by multiplying both numerator and denominator by 20p² / 4p² = 5:
(4p² + 6)×5 = 20p² + 30
(4p²)×5 = 20p²
=>
20p² + 30 -------------- 20p²
C) The second fraction rewritten with the LCD is (4p - 4) / 20p
FALSE: you have to multiply both numerator an denominator by 20p² / 10p = 2p
(2p - 2) × 2p = 4p² - 4p
10p × 2p = 20p²
So, the second fraction rewritten with the LCD is:
4p² - 4p ----------- 20p²
D) The sum is (24p² - 4p +30 ) / 20p² = (12p-2p+15) / 10p²
I'm in 10th grade so I'll see what I can do and will answer to the best of my ability.
Step-by-step explanation:
What Julie did wrong was, she did simplify she just did it wrong. She used 4*8 which does equal 32 but 8 can't be simplified anymore than that. If she would of used 2*16 then her answer would be right.
Let's multiply out the equation 6x+2 times 6x+2 using the square. Draw a 2 by 2 bow and put the equation across the bottom and verically. Multiply across to get this. 6x times 6x =36x^2 6x times two =12x do it again and get 12x. 2*2=4. That means x would equal 24.
