Write the expression as a polynomial, using the corresponding formula for special product: (−a–b)(−a–b)

The Answer is: a^2 + 2ab + b^2

Step-by-step explanation:

Multiply the first factor resulting in the a squared, then the two inner factors resulting in ab + ab, finally the last term, resulting in b squared. Then combine terms:

(-a - b)(-a - b) =

a^2 + ab + ab + b^2 =

a^2 + 2ab + b^2

Hope this helps! Have an awesome day! :-)

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step-by-step explanation:

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the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: