因式分解(1)a²x²+4ax²y+4x²y²;(2)x³+2x+3;(3)a²b-6ab²+9b³;(4)a³-2a²+a;(5)ax²-10ax+25a;(6)已知a+5=-5,ab=7.求(a-b)²的值补充:(3)、(4)
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![因式分解(1)a²x²+4ax²y+4x²y²;(2)x³+2x+3;(3)a²b-6ab²+9b³;(4)a³-2a²+a;(5)ax²-10ax+25a;(6)已知a+5=-5,ab=7.求(a-b)²的值补充:(3)、(4)](/uploads/image/z/11724661-37-1.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%881%EF%BC%89a%26%23178%3Bx%26%23178%3B%2B4ax%26%23178%3By%2B4x%26%23178%3By%26%23178%3B%EF%BC%9B%EF%BC%882%EF%BC%89x%26%23179%3B%2B2x%2B3%EF%BC%9B%EF%BC%883%EF%BC%89a%26%23178%3Bb-6ab%26%23178%3B%2B9b%26%23179%3B%EF%BC%9B%EF%BC%884%EF%BC%89a%26%23179%3B-2a%26%23178%3B%2Ba%EF%BC%9B%EF%BC%885%EF%BC%89ax%26%23178%3B-10ax%2B25a%EF%BC%9B%EF%BC%886%EF%BC%89%E5%B7%B2%E7%9F%A5a%2B5%3D-5%2Cab%3D7.%E6%B1%82%28a-b%29%26%23178%3B%E7%9A%84%E5%80%BC%E8%A1%A5%E5%85%85%EF%BC%9A%EF%BC%883%EF%BC%89%E3%80%81%EF%BC%884%EF%BC%89)
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因式分解(1)a²x²+4ax²y+4x²y²;(2)x³+2x+3;(3)a²b-6ab²+9b³;(4)a³-2a²+a;(5)ax²-10ax+25a;(6)已知a+5=-5,ab=7.求(a-b)²的值补充:(3)、(4)
因式分解(1)a²x²+4ax²y+4x²y²;(2)x³+2x+3;(3)a²b-6ab²+9b³;(4)a³-2a²+a;(5)ax²-10ax+25a;(6)已知a+5=-5,ab=7.求(a-b)²的值补充:(3)、(4)、(5)可以直接出答案,剩下的3道题均要完成过程.
因式分解(1)a²x²+4ax²y+4x²y²;(2)x³+2x+3;(3)a²b-6ab²+9b³;(4)a³-2a²+a;(5)ax²-10ax+25a;(6)已知a+5=-5,ab=7.求(a-b)²的值补充:(3)、(4)
解
a²x²+4ax²y+4x²y²
=x²(a²+4ay+4y²)
=x²(a+2y)²
x³+2x+3
=(x³+1)+(2x+2)
=(x+1)(x²-x+1)+2(x+1)
=(x+1)(x²-x+1+2)
=(x+1)(x²-x+3)
原式
=b(a²-6ab+9b²)
=b(a-3b)²
原式
=a(a²-2a+1)
=a(a-1)²
原式
=a(x²-10x+25)
=a(x-5)²
(a-b)²
=(a²-2ab+b²)
=(a²+2ab+b²)-4ab
=(a+b)²-4ab
=(-5)²-4×7
=25-28
=-3