Question

因式分解：(a+b)^2-8(a^2-b^2)+16(a-b)^2

Answer 1

( 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 + 5b )"

= ( 3a - 5b )"