Question

Expand the following ( m+2n)2​

Answer 1

Answer:

m² + 4n² + 4nm

Step-by-step explanation:

(m + 2n)²

m² + (2n)² + (2)(2n)(m)

m² + 4n² + 4nm

hope it helps u............,

Answer 2

Given: Given expression is-

${(m + 2n)}^{2}$

To find: We have to expand the given expression.

Solution:

The given expression is a quadertic equation.

Let us take a quadertic equation

${(a + b)}^{2}$

The expansion of this equation is-

${a}^{2} + 2ab + {b}^{2}$

In the same way we will expand the given equation.

Here a=m and b=2n.

The expansion of the given expression is-

${(m + 2n)}^{2} = {m}^{2} + 4mn + {4n}^{2}$