Question

Write missing monomial to make an identity ( + 2a)^2 = + 12ab + 4

Answer 1

The missing monomial should be
`3b`.

Explanation:

Given that,

`( + 2a)^2 = + 12ab + 4`

Let the missing monomial is x.

`( x+ 2a)^2 = x^2+ 12ab + 4a^2\\\\( x+ 2a)^2=(3b)^2+ 2(2a)(3b) + (2a)^2\\\\So,\\\\( 3b+ 2a)^2=(3b)^2+ 2(2a)(3b) + (2a)^2`

So, the missing monomial should be
`3b`.