Answer:
Lila is correct and Rob is incorrect because she apply wrong property.
[tex]18 \times 4^2+(9-3)^2=324[/tex]
Step-by-step explanation:
Given : Rob and Lila try to simplify [tex]18 \times 4^2+(9-3)^2[/tex]
Rob simplifies the expression and gets 360. Lila simplifies it and gets 324.
To find : which student is correct and what error did the other student.
Solution: First we simplify the expression:
[tex]18 \times 4^2+(9-3)^2[/tex]
[tex]=18 \times 16+(6)^2[/tex]
[tex]=288+36[/tex]
[tex]=324[/tex]
The solution of the expression is 324 which means Lila simplifies correct.
The mistake is found in Rob,
She simplify [tex](9-3)^2[/tex] like [tex]9^2-3^2=81-9=72[/tex] and she put this in equation
[tex]18 \times 4^2+(9-3)^2[/tex]
[tex]=18 \times 16+9^2-3^2[/tex]
[tex]=288+72[/tex]
[tex]=360[/tex] which is totally in correct.
because [tex](a+b)^2=a^2+b^2+2ab[/tex] she use wrong property.
