If a + b + c = 9 and ab + bc + ca = 26, find a^2 + b^2+ c^2?.
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2
Answer:
29
Step-by-step explanation:
we have,
a+b+c=9
=> (a+b+c)²=9²
=> a²+b²+c²+2ab+2cb+2ca=81
=> a²+b²+c²+2(ab+cb+ca)=81
=> a²+b²+c²+2(26)=81 (given, ab+cb+ca=26)
=> a²+b²+c²+52=81
=> a²+b²+c²=29
hope this answer will help you
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