Question

expand of (m+2n+3r) ^2​

Answer 1

Answer:

m² + 4n² + 9r² + 4mn + 12nr + 6mr

Step-by-step explanation:

Answer 2

Answer:

Let us expand the given expression:

(m + 2n + 3r)2 = (m)2 +(2n)2 +(3r)2 + [2 ×(m)× (2n)] + [2 ×(2n)×(3r)] + [2 ×(m)×(3r)]

By using the formula,

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

Here, a = m, b = 2n, c = 3r

Now, substitute the value we get

= m2 + 4n2 + 9r2 + [4mn] + [12nr] + [6mr]

= m2 + 4n2 + 9r2 + 4mn + 12nr + 6mr

∴ (m + 2n + 3r)2 = m2 + 4n2 + 9r2 + 4mn + 12nr + 6mr