SUPRATHIKSIRIMILLA20GO
Answered

• A+B = 2
• A³ + B³ = 10
Find A² - AB + B²

⇒ Explanation needed.
⇒ Include formulas (if any)
⇒ Show calculation whenever necessary.

Sagot :

PAULLYMACGO

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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