What algebraic expression must be subtracted from the sum of Y squared plus 5Y - 1 and 3Y squared minus 2Y + 4 to give you 2Y squared plus 7Y - 2

The required expression is:

2Y² - 4Y + 5

Step-by-step explanation:

Given the expression:

(Y² + 5Y - 1) + (3Y² - 2Y + 4)

= 4Y² + 3Y + 3

Subtracting (2Y² - 4Y + 5), we have

2Y² + 7Y - 2

Therefore, the expression:

2Y² - 4Y + 5

must be subtracted from the expression:

(Y² + 5Y - 1) + (3Y² - 2Y + 4)

to give the expression:

2Y² + 7Y - 2