If a+b-c=5 and a²+b²+c²=29 find the value of ab-bc-ca
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Answered by
142
Answer:
Step-by-step explanation:
Given that,
a+b-c = 5 and a^2+b^2+c^2 = 29
Using the formula
(a+b+c)^2 = a^2+b^2+c^2+2(ab+bc+ca)
=>(a+b+(-c)^2= a^2+b^2+c^2+2(ab+bc+ca)
=>(a+b-c)^2= a^2+b^2+c^2+2(ab-bc-ca)
=>5^2= 29+2(ab-bc-ca)
=>25= 29+2(ab-bc-ca)
=>ab-bc-ca= 25-29/2
=>ab-bc-ca= -4/2
=>ab-bc-ca= -2
Ans: -2
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Answered by
4
Step-by-step explanation:
Answer is 2
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