find the missing factor... -35x^2y= (-5xy)(_____)
-35x^2y= (-5xy)(_____)
(-5xy) * (7x) = -35x^2y
To find the missing factor in the equation -35x^2y = (-5xy)(_____), we can start by analyzing the equation.
The equation -35x^2y can be written as -5xy multiplied by some unknown factor.
We know that -35x^2y = (-5xy)(_____), which means that the missing factor must be the quotient of -35x^2y divided by -5xy.
To find the missing factor, we divide -35x^2y by -5xy:
(-35x^2y) / (-5xy)
First, we simplify by canceling out common terms in the numerator and denominator. In this case, we can cancel out the factors -35, -5, x, and y:
(-35x^2y) / (-5xy) = (7x * 5x * y) / (5x * y)
Next, we can simplify further by canceling out the remaining common factors, which are 5x and y:
(7x * 5x * y) / (5x * y) = 7x
Therefore, the missing factor in the equation -35x^2y = (-5xy)(_____) is 7x.