问题
解答题
先化简,再求值:(a-2b)(a2+2ab+4b2)-a(a-5b)(a+3b),其中a=-1,b=1.
答案
(a-2b)(a2+2ab+4b2)-a(a-5b)(a+3b),
=a3-8b3-(a2-5ab)(a+3b),
=a3-8b3-a3-3a2b+5a2b+15ab2,
=-8b3+2a2b+15ab2,
当a=-1,b=1时,原式=-8+2-15=-21.
先化简,再求值:(a-2b)(a2+2ab+4b2)-a(a-5b)(a+3b),其中a=-1,b=1.
(a-2b)(a2+2ab+4b2)-a(a-5b)(a+3b),
=a3-8b3-(a2-5ab)(a+3b),
=a3-8b3-a3-3a2b+5a2b+15ab2,
=-8b3+2a2b+15ab2,
当a=-1,b=1时,原式=-8+2-15=-21.