化简(3a+2b)(2a+b)-(2b+a)(b+a)

问题描述:

化简(3a+2b)(2a+b)-(2b+a)(b+a)

= 6a^2 + 7ab + 2b^2 - 2b^2 - 3ab - a^2
= 5a^2 + 4ab
= a ( 5a + 4b )

(3a+2b)(2a+b)-(2b+a)(b+a)
=6a²+3ab+4ab+2b²-2b²+2ab+ab+a²
=6a²+7ab+2b²-2b²+3ab+a²
=7a²+10ab

5a^2+4ab