purple1000
Answered

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ASAP!! PLEASE Will mark the brainliest answer If a + b = 7 and ab = 12, then find the value of a2- ab+ b2 and a3+b3

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Sagot :

Answer:

13 and 91

Step-by-step explanation:

(a + b)² = a² + 2ab + b² , substitute values

7² = a² + 2(12) + b²

49 = a² + 24 + b² ( subtract 24 from both sides )

25 = a² + b²

Then

a² - ab + b²

= a² + b² - ab , substitute values

= 25 - 12

= 13

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a³ + b³ = (a + b)(a² - ab + b²) ← substitute values

a³ + b³ = 7 × 13 = 91

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