Question

2x^4y^2+4x^3y^3+2x^2y^4

Answer 1

[AI-generated answer — Explain Bot]

To simplify the expression 2x^4y^2 + 4x^3y^3 + 2x^2y^4, we can factor out the highest power of the common variables.

Step 1: Look for the highest power of x and y that appears in every term. In this case, the highest power of x is x^4 and the highest power of y is y^4.

Step 2: Factor out the common variables. Rewrite the expression as:

x^2y^2(2x^2 + 4xy + 2y^2)

Now we have factored out the common variables, x^2y^2.

Step 3: Simplify the expression inside the parentheses. The expression inside the parentheses, 2x^2 + 4xy + 2y^2, cannot be factored any further.

So, the simplified form of 2x^4y^2 + 4x^3y^3 + 2x^2y^4 is x^2y^2(2x^2 + 4xy + 2y^2).