分析:(1)找出原式中的同類項(xiàng),合并同類項(xiàng)后即可得到結(jié)果;
(2)利用去括號(hào)法則去括號(hào),合并同類項(xiàng)后即可得到結(jié)果;
(3)先將括號(hào)外邊的數(shù)字因式乘到括號(hào)里邊,然后利用去括號(hào)法則去括號(hào),合并同類項(xiàng)即可得到結(jié)果;
(4)先將第二個(gè)括號(hào)外邊的數(shù)字因式乘到括號(hào)里邊,然后利用去括號(hào)法則去括號(hào)后,合并同類項(xiàng)即可得到結(jié)果.
解答:解:(1)3x
2+2xy-4y
2-3xy+4y
2-3x
2
=(3x
2-3x
2)+(-4y
2+4y
2)+(2xy-3xy)
=-xy;
(2)3x
2+2xy-4y
2-(3xy-4y
2+3x
2)
=3x
2+2xy-4y
2-3xy+4y
2-3x
2
=-xy;
(3)4(x
2-5x)-5(2x
2+3x)
=4x
2-20x-10x
2-15x
=-6x
2-35x;
(4)(5a
2-2ab)-2(3a
2+4ab-
b
2)
=5a
2-2ab-6a
2-8ab+b
2
=-a
2-10ab+b
2.
點(diǎn)評(píng):此題考查了整式的加減運(yùn)算,涉及的知識(shí)有:去括號(hào)法則,以及合并同類項(xiàng)法則,熟練掌握法則是解本題的關(guān)鍵.