which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 9xy³…
which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 9xy³ - 4y⁴ - 10x²y² + x³y + 3x⁴ + 2x²y² - 9y⁴\n-13y⁴ + 3x⁴ - 8x²y² + x³y + 9xy³\n-13y⁴ + x³y - 8x²y² + 9xy³ + 3x⁴\n3x⁴ - 8x²y² + x³y + 9xy³ - 13y⁴\n3x⁴ + x³y - 8x²y² + 9xy³ - 13y⁴
Answer
Explanation:
Step1: Combine like - terms of (y^4) terms
(-4y^{4}-9y^{4}=-13y^{4})
Step2: Identify the (x^{4}) term
The (x^{4}) term is (3x^{4})
Step3: Combine like - terms of (x^{2}y^{2}) terms
(-10x^{2}y^{2}+2x^{2}y^{2}=-8x^{2}y^{2})
Step4: Identify the (x^{3}y) and (9xy^{3}) terms
The (x^{3}y) term is (x^{3}y) and the (9xy^{3}) term is (9xy^{3})
Step5: Write the polynomial in standard form
We write the polynomial in descending order of the sum of the exponents of the variables in each term. The standard - form is (3x^{4}+x^{3}y - 8x^{2}y^{2}+9xy^{3}-13y^{4})
Answer:
D. (3x^{4}+x^{3}y - 8x^{2}y^{2}+9xy^{3}-13y^{4})