Question

a^2 + b^2 + c^2, whan a + b + c = m and ab + bc + ca = n

Answer 1

Answer:

m²-2n

Step-by-step explanation:

Ok, Nice question

As we know that,

(a+b+c)² = a²+b²+c²+2(ab+bc+ca)

Now putting the value of the in the question

(a+b+c)² = a²+b²+c²+2(ab+bc+ca)

→(m)² = a²+b²+c²+2(n)

→m² = a²+b²+c² + 2n

→a²+b²+c²=m²-2n

Answer 2

Step-by-step explanation:

Solution :

Given,

a + b + c = m and ab + bc + ca = n

We know that,

a² + b² + c² + 2(ab + bc + ca)

So,

a² + b² + c² = a² + b² + c² + 2(ab + bc + ca)

➡ m² = a² + b² + c² + 2 (n)

➡ -(a² + b² + c²) = -m² + 2n

➡ a² + b² + c² = m² + 2n