x²(x-y)+(y-x) 9(a-b)²-16(a+b)² 因式分解x²(x-y)+(y-x)9(a-b)²-16(a+b)²

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/18 15:40:36
x²(x-y)+(y-x)9(a-b)²-16(a+b)²因式分解x²(x-y)+(y-x)9(a-b)²-16(a+b)²x²(

x²(x-y)+(y-x) 9(a-b)²-16(a+b)² 因式分解x²(x-y)+(y-x)9(a-b)²-16(a+b)²
x²(x-y)+(y-x) 9(a-b)²-16(a+b)² 因式分解
x²(x-y)+(y-x)
9(a-b)²-16(a+b)²

x²(x-y)+(y-x) 9(a-b)²-16(a+b)² 因式分解x²(x-y)+(y-x)9(a-b)²-16(a+b)²
x²(x-y)+(y-x)
=(x-y)(x²-1)
=(x-y)(x+1)(x-1);
9(a-b)²-16(a+b)²
=[3(a-b)]²-[4(a+b)]²
=[3(a-b)+4(a+b)][3(a-b)-4(a+b)]
=(7a+b)(-a-7b)
=-(7a+b)(a+7b).

x2(x-y)+(y-x)
=x2(x-y)-(x-y)
=(x2-1)(x-y)
=(x+1)(x-1)(x-y)
9(a-b)2-16(a+b)2
=(3a-3b)2-(4a+4b)2
=(3a-3b+4a+4b)(3a-3b-4a-4b)
=(7a+b)(-a-7b)
=-(7a+b)(a+7b)

(x-1)(x+1)(x-y)
-(7a+b)(a+7b)