化简下列各题.化简(1)(-2a) ³ b ⁴÷12a ³b²(2)x - 1

来源：学生作业帮编辑：拍题作业网作业帮分类：数学作业时间：2024/05/05 13:37:09

化简下列各题.
化简
(1)(-2a) ³ b ⁴÷12a ³b²
(2)x - 1/x÷(x - 1/x)
(3)x-y/x+2y ÷ x²-y²/x²+4xy+4y² -2,x=2-√2 ,y=2√2-1
(4)2-x/x-1÷(x+1 - 3/x-1)
(5)x-2/x+2 - x+2/x-2,x=√2
(6)1/a+1 - a+3/a² -1 乘 a² -2a+1/a² +4a+3 ,a满足a² +2a-1=0
(7)1 - x-y/x+2y ÷ x²-y²/x²+4xy+4y² ,x=√2,y=1

(1)(-2a) ³ b ⁴÷12a ³b²
=-8a³b ⁴÷12a ³b²
=-2/3b²
(2)x - 1/x÷(x - 1/x)
=x-1/(x²-1)
=(x³-x-1)/(x²-1)
(3)x-y/x+2y ÷ x²-y²/x²+4xy+4y² -2, x=2-√2 ,y=2√2-1
=(x-y)/(x+2y)×(x+2y)²/(x-y)(x+y)
=(x+2y)/(x+y)
=(2-√2+4√2-2)/(2-√2+2√2-1)
=3√2/(√2+1)
=3√2(√2-1)
=6-3√2
(4)2-x/x-1÷(x+1 - 3/x-1)
=(2-x)/(x-1) ÷(x²-4)/(x-1)
=(2-x)/(x-2)(x+2)
=-1/(x+2)
(5)x-2/x+2 - x+2/x-2,x=√2
=（x²-4x+4-x²-4x-4）/(x+2)(x-2)
=(-8x)/(x²-4)
=-8√2/(2-4)
=4√2
(6)1/a+1 - a+3/a² -1 乘 a² -2a+1/a² +4a+3 ,a满足a² +2a-1=0
=1/a+1 -(a+3)/(a+1)(a-1) ·(a-1)²/(a+1)(a+3)
=1/(a+1) -(a-1)/(a+1)²
=(a+1-a+1)/(a+1)²
=2/(a²＋2a+1)
=2/(1+1)
=1
(7)1 - x-y/x+2y ÷ x²-y²/x²+4xy+4y² ,x=√2,y=1
=1-(x-y)/(x+2y)×(x+2y)²/(x+y)(x-y)
=1- (x+2y)/(x+y)
=(x+y-x-2y)/(x+y)
=-y/(x+y)
=-1/(√2+1)
=-(√2-1)
=-√2+1

化简!1：√-12a²b³(a>0) 2：√6x³y分之√2x 3：√a-b分之√a+b 化简下列分式:x^2+x/(x^2-1) x^2+4x/x^2+8x+16 ab^2(a-b)/a^2b-ab^2 下列计算:①(a²-b²)/(a-b)=a-b;②2y/3x÷(-4y²/9x³ 把下列多项式因式分解（1）-4x²+10x （2）15a³b+21a²b³+6 把(a+b)和(x+y)各看成一项,对下列各式合并同类项:(1)4(a+y)+2(a+b)-(a+b); (2)3(x+ 计算：1、[（a-b分之a²）+（b-a分之b²）]÷a-b分之a+b；2、（x-1分之x² 化简求值[b(b-a)³-2(a-b)²-(a-b)]÷[-2(b-a)].其中a=½,b 化简求值(4ab³-8a²b)÷4ab+(2a+b)(2a-b)其中a=2b=1 计算或化简(x-1)(x-2)-(2-x)^2（a+b-c)(c+a+b)-(a+b)^ 计算下列各题(a+b/a-b)²*2a-2b/a+3b - a²/a²-b²÷a 化简 (a+b)²+2a(a-1/2b)-3(a-b)(a+b) 化简代数式（a+b)²-2a(b+1)-a²b/b