Question

1 how did you find the LCD of the unlike expressions above ​

Answer 1

Step-by-step explanation:

to add or subtract rational expression with unlike denominators, first find the LCM of the denominator . the LCM of the denominator of the fraction or rational expression is also called least common denominator or LCD

Answer 2

Step-by-step explanation:

• So we need to find the LCD of the expressions
•   2y – 1 / y + 3x – 1 / x
• Now lcd of this expression will be xy
• So x(2y – 1) + y(3x – 1) /xy
• Or we get x – 5xy + y / xy
•   2x – 1 / 2x^2 + 5x + 2  + 3 / 2x + 2
•    2x – 1 / (x + 2) (2x + 1) + 3 / 2(x + 1)
•      ( 2x^2 + 5x + 2 will be
• splitting the terms we get   2x^2 + 4x + x + 2
•   Taking common terms we get   2x (x + 2) + 1(x + 2)
•     Taking common we get     (x + 2)(2x + 1) )
• So we get the LCD as (x + 2)(2x + 1) 2(x + 1)
•   Next question is 2x – 1 / x + 2 – x + 1 / x – 2
•      So we get
• (2x – 1) (x – 2) – (x + 2) (x + 1) / (x + 2) (x – 2)
•      So LCD will be (x + 2)(x – 2)

Reference link will be

https://brainly.in/question/28717132