Question

（a-b）²-（a+b）² 因式分解

Answer 1

( a - b )" - ( a + b )"

= [ ( a - b ) + ( a + b ) ][ ( a - b ) - ( a + b ) ]

= ( a - b + a + b )( a - b - a - b )

= 2a X 2b

= 4ab

( 56 + 2/3 )" - ( 43 + 1/3 )"

= ( 56 + 2/3 + 43 + 1/3 )( 56 + 2/3 - 43 - 1/3 )

= ( 99 + 3/3 )( 12 + 1/3 )

= 1200 + 100/3

= 1233 + 1/3

2^48 - 1

分解因式

= ( 2^24 - 1 )( 2^24 + 1 )

= ( 2^12 - 1 )( 2^12 + 1 )( 2^24 + 1 )

= ( 2^6 - 1 )( 2^6 + 1 )( 2^12 + 1 )( 2^24 + 1 )

= 63 X 65 X ( 2^12 + 1 )( 2^24 + 1 )

这两个 60 与 70 之间的整数,

就是 63 和 65