Answer:
The answer is ![49m^2-42m+9](https://tex.z-dn.net/?f=49m%5E2-42m%2B9)
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:
- square first term.
- Twice the product of the two terms.
- square second term.
In this case, the binomial expression is
. So the first term is
and the second term is
. Also there is a power, 2.
So, according to the rules:
![(7m-3)^2=(7m)^2+2*(7m)*(-3)+(-3)^2=49m^2-42m+9](https://tex.z-dn.net/?f=%287m-3%29%5E2%3D%287m%29%5E2%2B2%2A%287m%29%2A%28-3%29%2B%28-3%29%5E2%3D49m%5E2-42m%2B9)
Finally, the answer is ![49m^2-42m+9](https://tex.z-dn.net/?f=49m%5E2-42m%2B9)