## Algebra 1

$t^2+6t+9$
$x^m \cdot x^n = x^{m+n}$ Use the rule above to obtain: $=(t+3)^{7+(-5)} \\=(t+3)^{2}$ Use the formula $(a+b)^2=a^2+2ab+b^2$, where $a=t$ and $b=3$, to obtain: $=t^2 + 2(t)(3) + 3^2 \\=t^2+6t+9$