Solution:-ska7945 wrote:Which of the following is equal to (2^12-2^6)/(2^6-2^3)?
a) 2^6+2^3 b) 2^6-2^3 c)2^9 d)2^3 e)2
provide explanation please.
answer a
1) Equation is (2^12-2^6)/(2^6-2^3)
2) Take 2^6 common for numerator and 2^3 common for denominator
i.e. 2^6(2^6-1)/2^3(2^3-1) which is 2^3(2^6-1)/(2^3-1)
3) 2^3(2^6-1)/(2^3-1) can be rewritten as 2^3(2^3-1)(2^3+1)/(2^3-1)
4) The equation becomes 2^3(2^3+1) i.e. 2^6+2^3
5) Hence A
