Question

if a+b+c= -5 a²+b²+c² = -7 ab+bc+ca =​

Answer 1

Answer:

16=ab+bc+ca

Step-by-step explanation:

If a+b+c= -5

a²+b²+c² = -7

we need to find out the value of ab+bc+ca

In this question we will use the identity

(a+b+c)²= a²+b²+c²+2ab+2bc+2ca

(-5)²= -7+2(ab+bc+ca)

25= -7+2(ab+bc+ca)

25+7=2(ab+bc+ca)

32=2(ab+bc+ca)

32/2=ab+bc+ca

16=ab+bc+ca

hence the value is 16

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