The is the least common multiple of the denominator of two or more fractions

Least common denominator ( LCD)

Step-by-step explanation:

In  adding, subtracting, and comparing fractions we first find the LCD.

The least common denominator LCD means find the least common multiple of the denominators.

Convert unlike fraction in to equivalent fractions of the same denominator .

Greatest Common Factor (GCF) A common multiple is a number that is a multiple of two or more numbers.

Common multiples of 2 and 3 are 0, 6, 12, 18, ...

The least common multiple (LCM) of two numbers is the smallest number (excluding zero) that is a multiple of both of the numbers.

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.