Question

Sam used the identity
`(a+b)^(2)` to solve
`103^(2)`.

the steps he used are listed below.
Step 1 :
`(100+3)^2\\`
Step 2 :
`(100)^2 + 3^2`
Step 3 : 10,000 +9
Step 4 : 10,009
In which step did he go wrong?
a)Step 1
b)Step 2
c)Step 3
d)Step 4

Answer 1

answer: step 2
explanation: you have to add 100+3 for step two

Answer 2

Step 2

Explanation:

(100 + 3)² = 100² + 2 x 100 x 3 + 3²

This is by the law of squares
(a + b)² = a² + 2ab + b²