Find the factors of following :
2xy (x+y)​

2x²y and 2xy² are ur answers!!

Step-by-step explanation:

Simplifying

2xy(x + y) = 0

(x * 2xy + y * 2xy) = 0

Reorder the terms:

(2xy^2 + 2x^2y) = 0

(2xy^2 + 2x^2y) = 0

Solving

2xy^2 + 2x^2y = 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}

I hope it's helpful!

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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