Đáp án:

 c) $C=-\dfrac{1}{2}$

 d) $D=-\dfrac{1}{4}$

Giải thích các bước giải:

c) $C=(3+1)(3^2+1)(3^4+1)(3^8+1)(3^{16}+1)(3^{32}+1)-\dfrac{3^{64}}{2}$

         $=\dfrac{(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^{16}+1)(3^{32}+1)}{2}-\dfrac{3^{64}}{2}$

         $=\dfrac{(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^{16}+1)(3^{32}+1)}{2}-\dfrac{3^{64}}{2}$

         $=\dfrac{(3^4-1)(3^4+1)(3^8+1)(3^{16}+1)(3^{32}+1)}{2}-\dfrac{3^{64}}{2}$

         $=\dfrac{(3^{8}-1)(3^8+1)(3^{16}+1)(3^{32}+1)}{2}-\dfrac{3^{64}}{2}$

         $=\dfrac{(3^{16}-1)(3^{16}+1)(3^{32}+1)}{2}-\dfrac{3^{64}}{2}$

         $=\dfrac{(3^{32}-1)(3^{32}+1)}{2}-\dfrac{3^{64}}{2}$

         $=\dfrac{3^{64}-1}{2}-\dfrac{3^{64}}{2}$

         $=-\dfrac{1}{2}$

d) $D=(5+1)(5^2+1)(5^4+1)(5^8+1)(5^{16}+1)(5^{32}+1)-\dfrac{5^{64}}{4}$

         $=\dfrac{(5-1)(5+1)(5^2+1)(5^4+1)(5^8+1)(5^{16}+1)(5^{32}+1)}{4}-\dfrac{5^{64}}{4}$

         $=\dfrac{(5^2-1)(5^2+1)(5^4+1)(5^8+1)(5^{16}+1)(5^{32}+1)}{4}-\dfrac{5^{64}}{4}$

         $=\dfrac{(5^4-1)(5^4+1)(5^8+1)(5^{16}+1)(5^{32}+1)}{4}-\dfrac{5^{64}}{4}$

         $=\dfrac{(5^8-1)(5^8+1)(5^{16}+1)(5^{32}+1)}{4}-\dfrac{5^{64}}{4}$

         $=\dfrac{(5^{16}-1)(5^{16}+1)(5^{32}+1)}{4}-\dfrac{5^{64}}{4}$

         $=\dfrac{(5^{32}-1)(5^{32}+1)}{4}-\dfrac{5^{64}}{4}$

         $=\dfrac{5^{64}-1}{4}-\dfrac{5^{64}}{4}$

         $=-\dfrac{1}{4}$.

Đáp án:

`c)C=(-1)/2`

`d)D=(-1)/4`

Giải thích các bước giải:

`c)C=(3+1)(3²+1)(3^4+1)(3^16+1)(3^32+1)-(3^64)/2`

`=[2(3+1)(3²+1)(3^4+1)(3^16+1)(3^32+1)]/2-(3^64)/2`

`=[(3-1)(3+1)(3²+1)(3^4+1)(3^16+1)(3^32+1)]/2-(3^64)/2`

`=[(3²-1)(3²+1)(3^4+1)(3^16+1)(3^32+1)]/2-(3^64)/2`

`=[[(3^2)^2-1^2](3^4+1)(3^16+1)(3^32+1)]/2-(3^64)/2`

`=[(3^4-1)(3^4+1)(3^16+1)(3^32+1)]/2-(3^64)/2`

`=[[(3^4)^2-1^2](3^16+1)(3^32+1)]/2-(3^64)/2`

`=[(3^16-1)(3^16+1)(3^32+1)]/2-(3^64)/2`

`=[[(3^16)^2-1^2](3^32+1)]/2-(3^64)/2`

`=[(3^32-1)(3^32+1)]/2-(3^64)/2`

`=[(3^32)^2-1^2]/2-(3^64)/2`

`=(3^64-1)/2-(3^64)/2`

`=(3^64-1-3^64)/2`

`=(-1)/2`

`d)D=(5+1)(5^2+1)(5^4+1)(5^8+1)(5^16+1)(5^32+1)-(5^64)/4`

`=[4(5+1)(5^2+1)(5^4+1)(5^8+1)(5^16+1)(5^32+1)]/4-(5^64)/4`

`=[(5-1)(5+1)(5^2+1)(5^4+1)(5^8+1)(5^16+1)(5^32+1)]/4-(5^64)/4`

`=[(5^2-1)(5^2+1)(5^4+1)(5^8+1)(5^16+1)(5^32+1)]/4-(5^64)/4`

`=[[(5^2)^2-1^2](5^4+1)(5^8+1)(5^16+1)(5^32+1)]/4-(5^64)/4`

`=[(5^4-1)(5^4+1)(5^8+1)(5^16+1)(5^32+1)]/4-(5^64)/4`

`=[[(5^4)^2-1^2](5^8+1)(5^16+1)(5^32+1)]/4-(5^64)/4`

`=[(5^8-1)(5^8+1)(5^16+1)(5^32+1)]/4-(5^64)/4`

`=[[(5^8)^2-1^2](5^16+1)(5^32+1)]/4-(5^64)/4`

`=[(5^16-1)(5^16+1)(5^32+1)]/4-(5^64)/4`

`=[[(5^16)^2-1^2](5^32+1)]/4-(5^64)/4`

`=[(5^32-1)(5^32+1)]/4-(5^64)/4`

`=[(5^32)^2-1^2]/4-(5^64)/4`

`=(5^64-1)/4-(5^64)/4`

`=(5^64-1-5^64)/4`

`=(-1)/4`