6. Ahmad claims that the difference of squares method of factoring can be used even when the values aren't perfect squares. An example of his thinking is shown.

Below.

Step-by-step explanation:

a. (x - √5)(x + √5)

= x(x + √5) - √5(x + √5)

= x^2 + √5x - √5x - 5

= x^2 - 5.

b. 10 - 3x^2

= (√10 - √3x) (√10 + √3x)

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.