Question

Simplify the expression 8 ⁢ x 2 ⁢ y 2 10 ⁢ x 2 ⁢ y 3 and find the missing terms. the simplest form of 8 ⁢ x 2 ⁢ y 2 10 ⁢ x 2 ⁢ y 3 has in the numerator and in the denominator.

1. After simplifying the given expression, 8x²y²/10x²y³, using the Highest common factor (HCF), we get the new numerator as 4 and the new denominator as 5y, making the new expression 4/5y.
In the question, we are given the expression, 8x²y²/10x²y³, and are asked to simplify this expression.
To simplify the given expression, we calculate the Highest common factor (HCF) of the numerator and the denominator, and cancel from each to get the new numerator and the new denominator, which will together make the simplified expression.
The given numerator = 8x²y².
The given denominator = 10x²y³.
The highest common factor (HCF) of the numerator and the denominator = 2x²y².
Dividing the numerator and the denominator by the HCF, we get:
The new numerator = 8x²y²/2x²y² = 4.
The new denominator = 10x²y³/2x²y² = 5y.
Thus, the new expression is 4/5y.
Thus, after simplifying the given expression, 8x²y²/10x²y³, using the Highest common factor (HCF), we get the new numerator as 4 and the new denominator as 5y, making the new expression 4/5y.