ishkeru
Answered

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What is the difference of the polynomials?

[tex]\left(m^2 n^2 - 7\right) - (m n + 4)[/tex]

A. [tex]m n - 11[/tex]
B. [tex]m n + 3[/tex]
C. [tex]m^2 n^2 - m n - 11[/tex]
D. [tex]m^2 n^2 - m n - 3[/tex]

Sagot :

GinnyAnswer
To find the difference of the polynomials given by [tex]\( m^2 n^2 - 7 \)[/tex] and [tex]\( m n + 4 \)[/tex], we will subtract the second polynomial from the first one.

Let's write the expression we need to evaluate:

[tex]\[ (m^2 n^2 - 7) - (m n + 4) \][/tex]

Now, distribute the minus sign across the second polynomial:

[tex]\[ m^2 n^2 - 7 - m n - 4 \][/tex]

Next, combine the like terms:

[tex]\[ m^2 n^2 - m n - 7 - 4 \][/tex]

Simplify the constants by adding [tex]\(-7\)[/tex] and [tex]\(-4\)[/tex]:

[tex]\[ m^2 n^2 - m n - 11 \][/tex]

Thus, the difference of the polynomials is:

[tex]\[ \boxed{m^2 n^2 - m n - 11} \][/tex]
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