问题
解答题
计算:
(1)(2x+y-3z)2;
(2)(x-y+4)(x+y+4).
答案
(1)(2x+y-3z)2
=[(2x+y)-3z]2
=(2x+y)2-2•(2x+y)•3z+9z2
=4x2+4xy+y2-12xz-6yz+9z2;
(2)(x-y+4)(x+y+4)
=[(x+4)-y][(x+4)+y]
=(x+4)2-y2
=x2+8x+16-y2.
计算:
(1)(2x+y-3z)2;
(2)(x-y+4)(x+y+4).
(1)(2x+y-3z)2
=[(2x+y)-3z]2
=(2x+y)2-2•(2x+y)•3z+9z2
=4x2+4xy+y2-12xz-6yz+9z2;
(2)(x-y+4)(x+y+4)
=[(x+4)-y][(x+4)+y]
=(x+4)2-y2
=x2+8x+16-y2.