what is the answer of x^2-12y^2-2xy+6xy?
Answers
Simplifying
x2 + 6xy + -2xy + -12y2 = 0
Reorder the terms:
6xy + -2xy + x2 + -12y2 = 0
Combine like terms: 6xy + -2xy = 4xy
4xy + x2 + -12y2 = 0
Solving
4xy + x2 + -12y2 = 0
Solving for variable 'x'.
Factor a trinomial.
(x + -2y)(x + 6y) = 0
Subproblem 1
Set the factor '(x + -2y)' equal to zero and attempt to solve:
Simplifying
x + -2y = 0
Solving
x + -2y = 0
Move all terms containing x to the left, all other terms to the right.
Add '2y' to each side of the equation.
x + -2y + 2y = 0 + 2y
Combine like terms: -2y + 2y = 0
x + 0 = 0 + 2y
x = 0 + 2y
Remove the zero:
x = 2y
Simplifying
x = 2y
Subproblem 2
Set the factor '(x + 6y)' equal to zero and attempt to solve:
Simplifying
x + 6y = 0
Solving
x + 6y = 0
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
x + 6y + -6y = 0 + -6y
Combine like terms: 6y + -6y = 0
x + 0 = 0 + -6y
x = 0 + -6y
Remove the zero:
x = -6y
Simplifying
x = -6y
Solution
x = {2y, -6y}
Answer:
= x^2 -12 y^2 - 2xy + 6xy
= x^2 - 12y^2 + 4xy