阅读下面解题过程:36-a^2+2ab-b^2=36-(a^2-2ab+b^2)=6^2-(a-b)^2={6-(a-b
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阅读下面解题过程:
36-a^2+2ab-b^2
=36-(a^2-2ab+b^2)
=6^2-(a-b)^2
={6-(a-b)}{6+(a-b)}
=(6-a+b)(6+a-b)
体会上述过程,请将多项式48+2x-x^2因式分解
36-a^2+2ab-b^2
=36-(a^2-2ab+b^2)
=6^2-(a-b)^2
={6-(a-b)}{6+(a-b)}
=(6-a+b)(6+a-b)
体会上述过程,请将多项式48+2x-x^2因式分解
![阅读下面解题过程:36-a^2+2ab-b^2=36-(a^2-2ab+b^2)=6^2-(a-b)^2={6-(a-b](/uploads/image/z/19249698-66-8.jpg?t=%E9%98%85%E8%AF%BB%E4%B8%8B%E9%9D%A2%E8%A7%A3%E9%A2%98%E8%BF%87%E7%A8%8B%EF%BC%9A36-a%5E2%2B2ab-b%5E2%3D36-%EF%BC%88a%5E2-2ab%2Bb%5E2%EF%BC%89%3D6%5E2-%EF%BC%88a-b%EF%BC%89%5E2%3D%7B6-%EF%BC%88a-b)
答:
原式
=49-1+2x-x^2
=49-(1-2x+x^2)
=49-(1-x)^2
=(7+1-x)(7-1+x)
=(8-x)(6+x)
原式
=49-1+2x-x^2
=49-(1-2x+x^2)
=49-(1-x)^2
=(7+1-x)(7-1+x)
=(8-x)(6+x)
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