Question

Subtract and simplify as much as possible.

(-4)/(9y^(2)) - 7/(3y)

Answer 1

To subtract (-4)/(9y^2) - 7/(3y), find the lowest common denominator, which is 9y^2. Rewrite the second term with the common denominator, subtract the numerators, and simplify the expression to (-25)/(9y^2).

Step-by-step explanation:

The task is to subtract and simplify the given expressions (-4)/(9y2) - 7/(3y). To perform this subtraction, both terms need to have a common denominator. The lowest common denominator (LCD) for 9y2 and 3y is 9y2, as 9y2 is divisible by 3y. To perform the subtraction, we first rewrite each fraction with this common denominator:

• The first term is already over the LCD: (-4)/(9y2).
• To get the second term over the LCD, multiply both the numerator and denominator by 3: 7/(3y) × (3/3) = 21/(9y2).

Now, subtract the second term from the first term: (-4)/(9y2) - 21/(9y2). Combine the numerators:

(-4 - 21)/(9y2) = (-25)/(9y2).

Therefore, the simplified form of the expression is (-25)/(9y2).