(a-2b)(a^2-2ab+4b^2)-a(a-5b)(a+3b)先化简再求值 a=-1 b=1(看清楚题目)答案是 2a^2b+15ab^2-8b^3化简后=-21我要过程
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(a-2b)(a^2-2ab+4b^2)-a(a-5b)(a+3b)先化简再求值 a=-1 b=1(看清楚题目)答案是 2a^2b+15ab^2-8b^3化简后=-21我要过程
(a-2b)(a^2-2ab+4b^2)-a(a-5b)(a+3b)
先化简再求值 a=-1 b=1
(看清楚题目)
答案是 2a^2b+15ab^2-8b^3
化简后=-21
我要过程
(a-2b)(a^2-2ab+4b^2)-a(a-5b)(a+3b)先化简再求值 a=-1 b=1(看清楚题目)答案是 2a^2b+15ab^2-8b^3化简后=-21我要过程
(a-2b)(a^2-2ab+4b^2)-a(a-5b)(a+3b)
=(a-2b)(a^2-2ab-15b^2+15b^2+4b^2)-a(a-5b)(a+3b)
=(a-2b)(a^2-2ab-15b^2+19b^2)-a(a-5b)(a+3b)
=(a-2b)[(a-5b)(a+3b)+19b^2]-a(a-5b)(a+3b)
=(a-2b)(a-5b)(a+3b)+19b^2(a-2b)-a(a-5b)(a+3b)
=(a-5b)(a+3b)[(a-2b)-a]+19b^2(a-2b)
=-2b(a-5b)(a+3b)+19b^2(a-2b)
=19b^2(a-2b)-2b(a-5b)(a+3b)
=b[19b(a-2b)-2(a-5b)(a+3b)]
=b[19ab-38b^2-2(a^2-2ab-15b^2)]
=b[19ab-38b^2-2a^2+4ab+30b^2]
=b[23ab-8b^2-2a^2]
=-1*[23*1*(-1)-8*(-1)^2-2*1^2]
=-1*(-23-8-2)
=33
解: (a-2b)(a²+2ab+4b²)-a(a-5b)(a+3b)
=a³-(2b)³-a(a²+3ab-5ab-15b²)
=a³-8b³-a³+2a²b+15ab²
=2a²b+15ab²-8b³
因为a=-1, b=1
则原式=2×(-1)²×1+15×(-1)×1²-8×1³
=2-15-8
=-21