If x4 + x2y2 + y4 = 45, x2 +

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x⁴ + x²y² + y⁴ = 45,

x² + xy + y² = 9, then

find x² - xy + y² .

Options:

Correct Answer:

Explanation:

Formula → x⁴ + y⁴ + x²y² = (x²+ y² + xy) × (x²+ y² - xy)

⇒ 45 = 9 × (x²+ y² - xy)

⇒ x²+ y² - xy = \(\frac{45}{9}\) = 5