Answer:
The result is r² - 4r + 4.
Step-by-step explanation:
Step 1:
Square the first term.
- [tex]\tt{(r+2)^2=r^2}[/tex]
Step 2:
Multiply the product of the first and last terms by 2.
- [tex]\tt{(r+2)^2=r^2+2(r)(2)=r^2-4r}[/tex]
Step 3:
Square the last term.
- [tex]\tt{(r+2)^2=r^2+4r+(2)^2=r^2+4r+4}[/tex]
Complete Solution:
- [tex]\tt{(r+2)^2=r^2+2(r)(2)+(2)^2}=\boxed{\tt{r^2+4r+4}}[/tex]
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