• A+B = 2
• A³ + B³ = 10
Find A² - AB + B²
⇒ Explanation needed.
⇒ Include formulas (if any)
⇒ Show calculation whenever necessary.
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• A+B = 2
• A³ + B³ = 10
Find A² - AB + B²
⇒ Explanation needed.
⇒ Include formulas (if any)
⇒ Show calculation whenever necessary.
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Verified answer
Answer:
A² - AB + B² = 5
Step-by-step explanation:
Given: A+B = 2 , A³ + B³ = 10, A² - AB + B²= ?
Using the formula,
A³ + B³ = (A+B) (A² - AB + B²),
Substitute the given values,
10 = 2 (A² - AB + B²)
=> 10/2 = [2 (A² - AB + B²)] / 2
=> 5 = A² - AB + B²
=> A² - AB + B² = 5
Hence, the answer is A² - AB + B² = 5.
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