Question

Expand the following. (m+2n)^2​

Answer 1

Answer:

expanded form

(m+2n) (m+2n)

Answer 2

Answer:

The expanded form of $(m+2n)^{2}$ is $m^{2} +4mn+4n^{2}$

Step-by-step explanation:

Some important algebraic equations are as follows:

• $(a+b)^{2} =a^{2} +2ab+b^{2}$

• $(a-b)^{2} =a^{2} -2ab+b^{2}$

• $(a+b)\times (a-b) = a^{2} -b^{2}$

Using the equation $(a+b)^{2} =a^{2} +2ab+b^{2}$ ,

$(m+2n)^{2} = m^{2} + 2\times m\times2n+(2n)^{2}$

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

So, the expanded form of $(m+2n)^{2}$ is $m^{2} +4mn+4n^{2}$