Умножить многочлены и упростить выражение (х-6)(3х-1)-(5х+2)(2х-3)

To solve this problem, use the distributive property to multiply and simplify the expression:

(х-6)(3х-1)-(5х+2)(2х-3)

First, multiply the terms inside the first parenthesis:

3х^2 - х - 18

Then, multiply the terms inside the second parenthesis:

-10х^2 + 19х + 6

Finally, subtract the second expression from the first:

3х^2 - х - 18 - (-10х^2 + 19х + 6)

Combine like terms:

3х^2 - х - 18 + 10х^2 - 19х - 6

Simplify:

13х^2 - 20х - 24

So, the simplified expression is 13х^2 - 20х - 24.