问题
解答题
(1) A与2x2y-5xy2+6y3的和为3x2-4x2y+5y2,求A.
(2)已知:(2a+2b+1)(2a+2b-1)=63,求a+b的值.
(3)若2x+y=3,求4x•2y的值.
答案
(1)由题意得:A=3x2-4x2y+5y2-(2x2y-5xy2+6y3),
=3x2-4x2y+5y2-2x2y+5xy2-6y3,
=3x2-6x2y+5y2+5xy2-6y3;
(2)∵(2a+2b+1)(2a+2b-1)=63,
即(2a+2b)2-12=63,
解得2a+2b=±8,
所以a+b=±4.
即a+b的值为4或-4.
(3)∵2x+y=3,
∴4x•2y=22x+y=23=8.