=> a + b + c = 9
=> a² + b² + c² = 27
Formula of ( a + b + c)²
=> ( 9)² = 27 + 2 ( ab + bc + ca)
=> 81 = 27 + 2 ( ab + bc + ca )
=> 81 - 27 = 2 ( ab + bc + ca)
=> 54 = 2 ( ab + bc + ca)
=> 27 = ab + bc + ca
Answer:
➡ a + b + c = 9; a² + b² + c² = 27
▶ a + b + c = 9
▶ a² + b² + c² = 27
➡(a+b+c)²=a²+b²+c² +2(ab+bc+ca)
=> ab + bc + ca = 27
Hence, the value of ab+bc+ca = 27
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Verified answer
EXPLANATION.
=> a + b + c = 9
=> a² + b² + c² = 27
To find = ab + bc + ca.
Formula of ( a + b + c)²
=> ( 9)² = 27 + 2 ( ab + bc + ca)
=> 81 = 27 + 2 ( ab + bc + ca )
=> 81 - 27 = 2 ( ab + bc + ca)
=> 54 = 2 ( ab + bc + ca)
=> 27 = ab + bc + ca
=> value of ( ab + bc + ca) = 27
Answer:
✡ Question ✡
➡ a + b + c = 9; a² + b² + c² = 27
⟹ ab+bc+ca
✡ Given ✡
▶ a + b + c = 9
▶ a² + b² + c² = 27
✡ To Find ✡
➡ ab+bc+ca = ?
✡ Formula Used ✡
➡(a+b+c)²=a²+b²+c² +2(ab+bc+ca)
✡ Solution ✡
▶ According to the formula ,
=> ( 9)² = 27 + 2 ( ab + bc + ca)
=> 81 = 27 + 2 ( ab + bc + ca )
=> 81 - 27 = 2 ( ab + bc + ca)
=> 54 = 2 ( ab + bc + ca)
=> 27 = ab + bc + ca
=> ab + bc + ca = 27
=> ab + bc + ca =![\bold{\large{\fbox{\color{blue} {27}}}} \bold{\large{\fbox{\color{blue} {27}}}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Clarge%7B%5Cfbox%7B%5Ccolor%7Bblue%7D%20%7B27%7D%7D%7D%7D)
Hence, the value of ab+bc+ca = 27