Question

identify how many terms will be in the expanded form of a polynomial equivalent to the following expression. (−6m–n)2

Answer 1

Answer:

There are three terms in the expanded form of the given polynomial expression $(-6m-n)^2$ equivalent to the expression $36m^2+12mn+n^2$

Therefore $(-6m-n)^2=36m^2+12mn+n^2$

Step-by-step explanation:

Given expression is $(-6m-n)^2$

To simplify the given expression as below:

$(-6m-n)^2$

$=((-6m)+(-n))^2$

(Using the property $(a+b)^2=a^2+2ab+b^2$)

Here a=-6m and b=-n

$=(-6m)^2+2(-6m)(-n)+(-n)^2$

$=6^2.m^2+12mn+n^2$

$=36m^2+12mn+n^2$

$(-6m-n)^2=36m^2+12mn+n^2$

Therefore $(-6m-n)^2=36m^2+12mn+n^2$

There are three terms in the expanded form of the given polynomial expression $(-6m-n)^2$ equivalent to the expression $36m^2+12mn+n^2$