Put in simplest form:
16x^7y^12-10X^5y^8/2x^2y^9
16x^7y^12-10X^5y^8/2x^2y^9
=(16x^7y^12/2x^2y^9)-(10x^5y^8/2x^2y^9)
=((16/2)*x^(7-2)*y^(12-9))-((10/2)*x^(5-2)*y^(8-9))
=8x^5y^3-5x^3y^-1
or
=(8x^5y^3)-((5x^3)/y)
To make problem clearer, you need to include parentheses.
Do you mean:
(16x^7y^12-10X^5y^8)/(2x^2y^9)
or
16x^7y^12-(10X^5y^8)/(2x^2y^9)?
To put the expression (16x^7y^12 - 10x^5y^8) / (2x^2y^9) in simplest form, we can simplify the numerator and the denominator separately, and then simplify the resulting expression.
Let's start by simplifying the numerator: 16x^7y^12 - 10x^5y^8. We can see that both terms have common factors, which are x^5 and y^8. We can factor these out:
= x^5y^8(16x^2y^4 - 10)
Now let's simplify the denominator: 2x^2y^9.
Now, if we divide the numerator by the denominator, we need to divide each term individually: (x^5y^8(16x^2y^4 - 10)) / (2x^2y^9).
Simplifying, we can cancel out the common factors between the numerator and the denominator:
= (x^5y^8 (16x^2y^4 - 10)) / (2x^2y^9)
= (x^5y^8 (8x^2y^4 - 5)) / (x^2y^9)
Therefore, the expression in simplest form is: (x^5y^8 (8x^2y^4 - 5)) / (x^2y^9).