Respuesta :
The required product of two rational numbers is 8y² - 28y + 4) / (6y² - 21y + 9).
What is a rational number?
Any real number that can be represented in the form of p/q, where q is not equal to 0 is called a rational number. The decimal expansion of rational numbers is terminating and repeating.
Calculation of the product of two rational numbers
Given two rational numbers,
8y - 4 / 10y - 5 and 5y -15 / 3y - 9
We need to multiply both the numbers i.e.
= (8y - 4 / 10y - 5) × (5y -15 / 3y - 9)
= (8y -4) × (5y - 15) / (10y - 5) × (3y - 9)
= (40y² - 140y + 20) / (30y² - 105y + 45)
= (8y² - 28y + 4) / (6y² - 21y + 9)
= (8y² - 28y + 4) / (6y² - 21y + 9)
The restriction is that the denominator, 6y² - 21y + 9 should not be 0.
Hence, the required product of two rational numbers is 8y2 - 28y + 4) / (6y2 - 21y + 9).
To learn more about rational numbers, visit here:
https://brainly.com/question/12088221
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