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ella [17]
3 years ago
11

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

Mathematics
1 answer:
IRISSAK [1]3 years ago
7 0

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

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