把下列各式因式分解:5x^+8x-4a^-9b^+a-3bx^-y^+4yz-4z^a^+(a+1)^+2a(a+1)1-2^+3^-4^+5^-6^+…+99^-100^ (简便计算)已知a^-5a+1=0(a≠0),求a^+1/a^的值
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![把下列各式因式分解:5x^+8x-4a^-9b^+a-3bx^-y^+4yz-4z^a^+(a+1)^+2a(a+1)1-2^+3^-4^+5^-6^+…+99^-100^ (简便计算)已知a^-5a+1=0(a≠0),求a^+1/a^的值](/uploads/image/z/9304936-16-6.jpg?t=%E6%8A%8A%E4%B8%8B%E5%88%97%E5%90%84%E5%BC%8F%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%3A5x%5E%2B8x-4a%5E-9b%5E%2Ba-3bx%5E-y%5E%2B4yz-4z%5Ea%5E%2B%28a%2B1%29%5E%2B2a%28a%2B1%291-2%5E%2B3%5E-4%5E%2B5%5E-6%5E%2B%E2%80%A6%2B99%5E-100%5E+%28%E7%AE%80%E4%BE%BF%E8%AE%A1%E7%AE%97%29%E5%B7%B2%E7%9F%A5a%5E-5a%2B1%3D0%28a%E2%89%A00%29%2C%E6%B1%82a%5E%2B1%2Fa%5E%E7%9A%84%E5%80%BC)
把下列各式因式分解:5x^+8x-4a^-9b^+a-3bx^-y^+4yz-4z^a^+(a+1)^+2a(a+1)1-2^+3^-4^+5^-6^+…+99^-100^ (简便计算)已知a^-5a+1=0(a≠0),求a^+1/a^的值
把下列各式因式分解:
5x^+8x-4
a^-9b^+a-3b
x^-y^+4yz-4z^
a^+(a+1)^+2a(a+1)
1-2^+3^-4^+5^-6^+…+99^-100^ (简便计算)
已知a^-5a+1=0(a≠0),求a^+1/a^的值
把下列各式因式分解:5x^+8x-4a^-9b^+a-3bx^-y^+4yz-4z^a^+(a+1)^+2a(a+1)1-2^+3^-4^+5^-6^+…+99^-100^ (简便计算)已知a^-5a+1=0(a≠0),求a^+1/a^的值
5x^+8x-4
a^-9b^+a-3b
=(a-3b)(a+3b)+(a-3b)
=(a-3b)(a+3b+1)
x^-y^+4yz-4z^
=x^2-(y-2z)^2
=(x+y-2z)(x-y+2z)
a^+(a+1)^+2a(a+1)
=[a+(a+1)]^2
=(2a+1)^2
1-2^+3^-4^+5^-6^+…+99^-100^ (简便计算)
=(1-2)(1+2)+(3-4)(3+4)+...+(99-100)(99+100)
=-3-7-11-...-199
=(-3-199)*50/2
=-5050
已知a^-5a+1=0(a≠0),求a^+1/a^的值 (解答题)
因为a≠0,所以a^-5a+1=0等式2边都除以a,得
a-5+1/a=0
a+1/a=5
a^+1/a^=(a+1/a)^2-2*a*1/a=(a+1/a)^2-2=23