Answer:
9w^2 - 42w + 49.
Step-by-step explanation:
Apply the square of a binomial pattern:
(a + b)^2 = a^2 + 2ab + b^2
Identify a and b:
a = 3w
b = -7
Substitute into the pattern:
(3w - 7)^2 = (3w)^2 + 2(3w)(-7) + (-7)^2
Simplify:
= 9w^2 - 42w + 49
Therefore, (3w - 7)^2 expanded and simplified is 9w^2 - 42w + 49.
