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