(x^4-3x^2y^2+y^4)-(-11x^4+4x^2y^2-3y^4)

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Jul 03, 2024

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Simplifying the Expression: $(x^4-3x^2y^2+y^4)-(-11x^4+4x^2y^2-3y^4)$

In this article, we will simplify the given expression step by step.

Step 1: Distribute the Negative Sign

First, we need to distribute the negative sign to the terms inside the parentheses:

$(x^4-3x^2y^2+y^4)-(-11x^4+4x^2y^2-3y^4) = x^4-3x^2y^2+y^4+11x^4-4x^2y^2+3y^4$

Step 2: Combine Like Terms

Now, we combine like terms:

$x^4+11x^4 = 12x^4$ $-3x^2y^2-4x^2y^2 = -7x^2y^2$ $y^4+3y^4 = 4y^4$

So, the simplified expression is:

$(x^4-3x^2y^2+y^4)-(-11x^4+4x^2y^2-3y^4) = 12x^4 - 7x^2y^2 + 4y^4$

And that's the final answer!