因式分解:(a+b)^2-8(a^2-b^2)+16(a-b)^2
问题描述:
因式分解:(a+b)^2-8(a^2-b^2)+16(a-b)^2
答
( a + b )" - 8( a" - b" ) + 16( a - b )"= ( a + b )" - 8( a + b )( a - b ) + 16( a - b )"= ( a + b )" - 2( a + b )( 4a - 4b ) + ( 4a - 4b )"= [ ( a + b ) - ( 4a - 4b ) ]"= ( a + b - 4a + 4b )"= ( -3a ...