Question

If (a+b+c )=7 and (a2+b2+c2) = 45 find ( ab+bc+ca)

Answer 1

Answer:

see the following pic....

Answer 2

Given that,

• (a + b + c) = 7
• (a² + b² + c²) = 45
• (ab + bc + ac) = ?

Let,

• (ab + bc + ac) = x

By using (a + b + c)² formula

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

Substitute the values.

$⟹ {(7)}^{2} = 45 + 2(x) \\ \\ ⟹49 = 45 + 2x \\ \\ ⟹49 - 45 = 2x \\ \\ ⟹2x = 4 \\ \\ ⟹x = \frac{4}{2} \\ \\ ⟹x = 2$

∴ The value of (ab + bc + ac) = 2

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Step-by-step explanation:

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