Question

$if \: a + b + c = 15 \: and \: ab + bc + ca = 71 \: then \: find \: the \: value \: of \: a {}^{2} b {}^{2} c {}^{2}$
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Answer 1

hay!!

question

$if \: a + b + c = 15 \: and \: ab + bc + ca = 71 \: then \: find \: the \: value \: of \: a {}^{2} b {}^{2} c {}^{2}$

given

• a + b + c = 15
• ab + bc + ca = 71

to find

• $a {}^{2}+ b {}^{2}+ c {}^{2}$

answer

083

formulas used

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

${\sf{\red{\underline{\Large{Explanation}}}}}$

formula

=>(a+b+c)²=a²+b²+c²+2(ab + bc + ac)

putting the values

=>(a+b+c)²=a²+b²+c²+2(ab + bc + ac)

=>(15)²=a²+b²+c²+2(71)

=>225 =a²+b²+c²+142

=>225-142=a²+b²+c²

=>083. answer.

hope it's helps you