Question

B) (i) If a +b+c=10, ab + bc + ca = 20, then show that a square+ b square + c square = 60.

plzz say answer fast and in detail plzzzz​

Answer 1

$a + b + c = 10$

$ab + bc + ca = 20$

$(a + b + c) {}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ca$

${a}^{2} + {b}^{2} + {c}^{2} = ( a+ b+ c) {}^{2} - 2ab - 2bc - 2ca$

$= ( a+ b+ c) {}^{2} - 2(ab + bc + ca)$

$= > (10) {}^{2} - 2(20)$

$= > 100 - 40$

$= > 60$

$\mathcal\orange{Please\:mark\:as\:brainliest.....}$

Answer 2

HOPE YOU'LL MARK ME AS A BRAINLIEST..