Respuesta :

The square of (7m-3)2 is  49m squared minus 42m+9

Answer:

The answer is [tex]49m^2-42m+9[/tex]

Step-by-step explanation:

In order to determine the answer, we have to know about square of a binomial.

A binomial expression is the addition of two terms. If the binomial expression  is powered by two, there are some rules to expand the expression:

  1. square first term.
  2. Twice the product of the two terms.
  3. square second term.

In this case, the binomial expression is [tex]7m-3[/tex]. So the first term is [tex]7m[/tex] and the second term is [tex]-3[/tex]. Also there is a power, 2.

So, according to the rules:

[tex](7m-3)^2=(7m)^2+2*(7m)*(-3)+(-3)^2=49m^2-42m+9[/tex]

Finally, the answer is [tex]49m^2-42m+9[/tex]