2xy(x+y) find the factors of the following
Answers
Answer:
Solution for 2xy(x+y)= equation:
Simplifying
2xy(x + y) = 0
(x * 2xy + y * 2xy) = 0
Reorder the terms:
(2xy2 + 2x2y) = 0
(2xy2 + 2x2y) = 0
Solving
2xy2 + 2x2y = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(y + x) = 0
Ignore the factor 2.
Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:
Simplifying
xy = 0
Solving
xy = 0
Move all terms containing x to the left, all other terms to the right.
Simplifying
xy = 0
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(y + x)' equal to zero and attempt to solve:
Simplifying
y + x = 0
Reorder the terms:
x + y = 0
Solving
x + y = 0
Move all terms containing x to the left, all other terms to the right.
Add '-1y' to each side of the equation.
x + y + -1y = 0 + -1y
Combine like terms: y + -1y = 0
x + 0 = 0 + -1y
x = 0 + -1y
Remove the zero:
x = -1y
Simplifying
x = -1y
Solution
x = {-1y}
Answer:
1×2×x×y
Step-by-step explanation:
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