Question

if a+b+c=14,a²+b²+c²=100,then what is ab +bc+ca​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given

• a + b + c = 14
• a² + b² + c² = 100

To find

• ab + bc + ca = ?

Solution

As we know that

→ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

→ (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

→ (14)² = 100 + 2(ab + bc + ca)

→ 196 - 100 = 2(ab + bc + ca)

→ 2(ab + bc + ca) = 96

→ ab + bc + ca = 96/2

→ ab + bc + ca = 48

Hence,

• ab + bc + ca = 48