GWD10-13 (高次方相加減)

Kath1985

Which of the following is equal to (2^12-2^6) / (2^6-2^3) ?
答案為2^6+2^3
想請問這種題目要如何做呢

Kath1985

喔 我懂了 哈哈 謝謝你

annedx

For numerator, you can get a common factor --> 2^6 out of the equation. In other words, 2^12-2^6=2^6(2^6-1)=2^6*(2^3-1)(2^3+1)
for denominator, likewise, you could get 2^3 out. rewrite the equation, you got 2^6-2^3=2^3*(2^3-1)
and blah blah blah
you get 2^3*(2^3+1)=2^6+2^3
....