Question

What is the difference of the polynomials? (12x^2-11y^2-13x)-(5x^2-14y^2-9x)

Answer 1

12x^2 - 11y^2 - 13x - (5x^2 - 14y^2 - 9x) =
12x^2 - 11y^2 - 13x - 5x^2 + 14y^2 + 9x =
7x^2 + 3y^2 - 4x <==

Answer 2

Therefore, the difference of the polynomial $(12x^2-11y^2-13x)-(5x^2-14y^2-9x)$ is $7x^2+3y^2-4x$

The difference polynomial is:

$(12x^2-11y^2-13x)-(5x^2-14y^2-9x)$

Expand the expression using the distributive rule

$12x^2-11y^2-13x-5x^2+14y^2+9x$

Collect like terms

$12x^2-5x^2-11y^2+14y^2-13x+9x$

Simplify the expression by carrying out necessary addition and subtraction of like terms

$7x^2+3y^2-4x$

Therefore, the difference of the polynomial $(12x^2-11y^2-13x)-(5x^2-14y^2-9x)$ is $7x^2+3y^2-4x$

Learn more here: https://brainly.com/question/1000323