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標題:
發問:
1.下列何者是m^4-(m^2)(n^2)的因式? I.) mn II.) m+n III.)m-n a.只有III b.只有I及III c.只有II及III d.I、II及III 2.下列哪個數式不是a^5-ab^4的因式? a.a^2+b^2 b.a^2-b^2 c.b+a d.1-a 3.(x-y+z)^2-(y-z+x)^2 = ? 4.1-x^2-y^2+(x^2)(y^2)可因式分解為?
最佳解答:
1.下列何者是m^4-(m^2)(n^2)的因式? m^4 - (m^2)n^2 = m^2 (m^2 - n^2) = m^2 (m+n)(m-n) Answer: II & III => C 2.下列哪個數式不是a^5-ab^4的因式? a^5 - ab^4 = a(a^4 - b^4) = a(a^2 + b^2)(a^2 - b^2) = a(a^2 + b^2)(a-b)(a+b) Answer: D 3.(x-y+z)^2-(y-z+x)^2 = (x-y+z-y+z-x)(x-y+z+y-z+x) = 2(z-y)(2x) = 4x(z-y) 4.1-x^2-y^2+(x^2)(y^2) = (1-x^2) - y^2 (1-x^2) = (1-x^2)(1-y^2) = (1-x)(1+x)(1-y)(1+y)
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4條f.2升f.3數學(續多項式的因式分解)(7點!!)發問:
1.下列何者是m^4-(m^2)(n^2)的因式? I.) mn II.) m+n III.)m-n a.只有III b.只有I及III c.只有II及III d.I、II及III 2.下列哪個數式不是a^5-ab^4的因式? a.a^2+b^2 b.a^2-b^2 c.b+a d.1-a 3.(x-y+z)^2-(y-z+x)^2 = ? 4.1-x^2-y^2+(x^2)(y^2)可因式分解為?
最佳解答:
1.下列何者是m^4-(m^2)(n^2)的因式? m^4 - (m^2)n^2 = m^2 (m^2 - n^2) = m^2 (m+n)(m-n) Answer: II & III => C 2.下列哪個數式不是a^5-ab^4的因式? a^5 - ab^4 = a(a^4 - b^4) = a(a^2 + b^2)(a^2 - b^2) = a(a^2 + b^2)(a-b)(a+b) Answer: D 3.(x-y+z)^2-(y-z+x)^2 = (x-y+z-y+z-x)(x-y+z+y-z+x) = 2(z-y)(2x) = 4x(z-y) 4.1-x^2-y^2+(x^2)(y^2) = (1-x^2) - y^2 (1-x^2) = (1-x^2)(1-y^2) = (1-x)(1+x)(1-y)(1+y)
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