计算:
①-
②(x-3)(x+4)-(x+1)(x-2);
③8x2-(x-2)(3x+1)-2(x+1)(x-5)
④(3x+4)2-(2x+3)(2x-3)
⑤-6xy(x2-2xy-y2)-3xy(2x2-4xy+y2)
⑥(2x-y-1)(2x+y-1)
网友回答
解:①-,
=m2+4+2m-(-4-m+m+m2),
=2m+8;
②(x-3)(x+4)-(x+1)(x-2),
=(x2+4x-3x-12)-(x2-2x+x-2),
=2x-10;
③8x2-(x-2)(3x+1)-2(x+1)(x-5),
=8x2-(3x2+x-6x-2)-2(x2-5x+x-5),
=3x2+13x+12;
④(3x+4)2-(2x+3)(2x-3),
=(9x2+16+24x)-(4x2-6x+6x-9),
=5x2+24x+25,
⑤-6xy(x2-2xy-y2)-3xy(2x2-4xy+y2)
=-12x3y+24x2y2+3xy3;
⑥(2x-y-1)(2x+y-1),
=4x2-4x+1-y2.
解析分析:只需利用完全平方公式以及单项式乘以多项式、多项式乘以多项式的方法,对所求代数式进行化简即可.
点评:本题考查了完全平方公式、单项式乘以多项式、多项式乘以多项式等考点,要注意掌握.