Answer:
Step-by-step explanation:
(
x
−
3
)
2
=
(
x
−
3
)
(
x
−
3
)
From here we can just FOIL; first, outer, inner, last. Multiply the first term in the first bracket (x), by the FIRST term in the second bracket (x), giving us
x
2
. Then, we multiply the outermost term on the left side by the OUTERmost on the right side, giving us
−
3
⋅
x
, equal to
−
3
x
. We then multiply the INNERmost terms together, which are again -3 and
x
, giving us
−
3
x
again. Finally we multiply the LAST term in the first bracket by the last term of the second, giving us
−
3
⋅
−
3
, or 9. Then, we simply write these out, in order:
x
2
−
3
x
−
3
x
+
9
Collect like terms:
x
2
−
6
x
+
9
And you're done!
