Question

Prove that the value of the expression (2^10+2^8)(2^5-2^3) is divisible by 60

Answer 1

Let's simplify it, because if we do, we can find the value and then deduce whether it is divisible by 60.

2^10 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

2^10 = 1,024

2^8 = 256

2^5 = 32

2^3 = 8

Substitute the expressions in the equation for their values...

(1,024+256)(32-8)

Simplify...

(1,280)(24)

Simplify...

30,720

Now, divide it by 60...

512 * 60 = 30,720

512*60=(2^10+2^8)(2^5-2^3)