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整式的化简(1)(3a+b)2(2)(-x+3y)2(3)[(3a-3\1b)2+2b(a-18\1b)]/3a2(4)(-a-b)2(5)(x2+2\1)2(6)[(-a3)2+3a3`(-a)-a2`(-a2)2]/3a4
题目详情
整式的化简
(1)(3a+b)2 (2)(-x+3y)2 (3)[(3a-3\1b)
2+2b(a-18\1b)]/3a2 (4)(-a-b)2 (5)(x2+2\1)2
(6)[(-a3)2+3a3`(-a)-a2`(-a2)2]/3a4
(1)(3a+b)2 (2)(-x+3y)2 (3)[(3a-3\1b)
2+2b(a-18\1b)]/3a2 (4)(-a-b)2 (5)(x2+2\1)2
(6)[(-a3)2+3a3`(-a)-a2`(-a2)2]/3a4
▼优质解答
答案和解析
(1)(3a+b)^2
=(9a^2+6ab+b^2
(2)(-x+3y)^2
=(x-3y)^2
=x^2-6xy+9y^2
(3)[(3a-b/3)^2+2b(a-b/18)]/3a^2
=(9a^2-2ab-b^/9+2ab-b^2/9)/3a^2
=9a^2/3a^2
=3
(4)(-a-b)^2
=(a+b)^2
=a^2+2ab+b^2
(5)(x^2+1/2)^2
=x^4+x^2+1/4
(6)[(-a^3)^2+3a^3`(-a)-a^2`(-a^2)^2]/3a^4
=(a^6-3a^4-a^2*a^4)/3a^4
=(a^6-3a^4-a^6)/3a^4
=-3a^4/3a^4
=-1
=(9a^2+6ab+b^2
(2)(-x+3y)^2
=(x-3y)^2
=x^2-6xy+9y^2
(3)[(3a-b/3)^2+2b(a-b/18)]/3a^2
=(9a^2-2ab-b^/9+2ab-b^2/9)/3a^2
=9a^2/3a^2
=3
(4)(-a-b)^2
=(a+b)^2
=a^2+2ab+b^2
(5)(x^2+1/2)^2
=x^4+x^2+1/4
(6)[(-a^3)^2+3a^3`(-a)-a^2`(-a^2)^2]/3a^4
=(a^6-3a^4-a^2*a^4)/3a^4
=(a^6-3a^4-a^6)/3a^4
=-3a^4/3a^4
=-1
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