Question

perform the addition and simplify.
\\((8y^{4}-9y^{2}+2x^{2}-9)+(-6y^{4}+4y^{2}+6)\\)
\\((8y^{4}-9y^{2}+2x^{2}-9)+(-6y^{4}+4y^{2}+6)=\square\\)

Explanation:

Step1: Combine like terms for \(y^4\)

\(8y^4 + (-6y^4) = (8 - 6)y^4 = 2y^4\)

Step2: Combine like terms for \(y^2\)

\(-9y^2 + 4y^2 = (-9 + 4)y^2 = -5y^2\)

Step3: The term with \(x^2\) remains

\(2x^2\) (no like terms to combine)

Step4: Combine constant terms

\(-9 + 6 = -3\)

Step5: Combine all simplified terms

\(2y^4 - 5y^2 + 2x^2 - 3\)

Answer:

\(2y^{4}-5y^{2}+2x^{2}-3\)