Rút gọn D=1/x- cănx - 2 cănx/ x -1 + 1/x+cănx
Rút gọn D
Với x> 0 và x khác 1
D = 1x−x−2xx−1+1x+x\frac{1}{x-\sqrt{x}}-\frac{2\sqrt{x}}{x-1}+\frac{1}{x+\sqrt{x}}x−x1−x−12x+x+x1
D=1x−x−2xx−1+1x+x(ĐK:x>0;xe1)D=\frac{1}{x-\sqrt{x}}-\frac{2\sqrt{x}}{x-1}+\frac{1}{x+\sqrt{x}}\left(ĐK:x>0;xe1\right)D=x−x1−x−12x+x+x1(ĐK:x>0;xe1)
=1x(x−1)−2x(x−1)(x+1)+1x(x+1)=\frac{1}{\sqrt{x}\left(\sqrt{x}-1\right)}-\frac{2\sqrt{x}}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}+\frac{1}{\sqrt{x}\left(\sqrt{x}+1\right)}=x(x−1)1−(x−1)(x+1)2x+x(x+1)1
=x+1−2x+x−1x(x−1)(x+1)=2x(1−x)x(x−1)(x+1)=−2x+1=\frac{\sqrt{x}+1-2x+\sqrt{x}-1}{\sqrt{x}\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}=\frac{2\sqrt{x}\left(1-\sqrt{x}\right)}{\sqrt{x}\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}=-\frac{2}{\sqrt{x}+1}=x(x−1)(x+1)x+1−2x+x−1=x(x−1)(x+1)2x(1−x)=−x+12
Rút gọn A=(2x+1/cănx^3 -1 - cănx/x-cănx +1).(3 cănx +cănx^3/x-3x - cănx)
rút gọn :
A = (2x+1x3−1−xx−x+1).(3x+x3x−3x−x)\left(\frac{2x+1}{\sqrt{x}^3-1}-\frac{\sqrt{x}}{x-\sqrt{x}+1}\right).\left(\frac{3\sqrt{x}+\sqrt{x}^3}{x-3x}-\sqrt{x}\right)(x3−12x+1−x−x+1x).(x−3x3x+x3−x)mk cần gấp ai giải nhanh hộ vs thanks
Rút gọn A=(1/a-căn a +1/căn a -1):căn(a+1)/a-2 căn a +1
Cho biểu thức A=(1a−a+1a−1):a+1a−2a+1A=\left(\frac{1}{a-\sqrt{a}}+\frac{1}{\sqrt{a}-1}\right):\frac{\sqrt{a+1}}{a-2\sqrt{a}+1}A=(a−a1+a−11):a−2a+1a+1 ( với a>0a>0a>0 và ae1ae1ae1 ).
a ) Rút gọn biểu thức A
b ) Tìm a để A=12A=\frac{1}{2}A=21
Rút gọn A=(1-a căn a/ 1- căn a + căn a)*(1+a căn a/ 1+ căn a - căn a)
Rut gon:
A=(1−aa1−a+a)(1+aa1+a−a)A=\left(\dfrac{1-a\sqrt{a}}{1-\sqrt{a}}+\sqrt{a}\right)\left(\dfrac{1+a\sqrt{a}}{1+\sqrt{a}}-\sqrt{a}\right)A=(1−a1−aa+a)(1+a1+aa−a)
Rút gọn A=(4/x-cănx + cănx/cănx -1):1/cănx -1
Cho bieu thuc A=(4x−x+xx−1)÷1x−1\left(\dfrac{4}{x-\sqrt{x}}+\dfrac{\sqrt{x}}{\sqrt{x}-1}\right)\div\dfrac{1}{\sqrt{x}-1}(x−x4+x−1x)÷x−11
a/ Tim dieu kien cua x de bieu thuc A co gia tri xac dinh
b/ Rut gon A
c/ Tinh gia tri cua A khi x = 4−234-2\sqrt{3}4−23
d/ Tim gia tri nho nhat cua A
Rút gọn căn(3-căn2)-căn(3+căn2)
Rut gon :3−2−3+2\sqrt{3-\sqrt{2}}-\sqrt{3+\sqrt{2}}3−2−3+2
Rút gọn M=n^3+2n^2-1/n^3+2n^2+2n+1
Rut gon : M=n3+2n2−1n3+2n2+2n+1M=\dfrac{n^3+2n^2-1}{n^3+2n^2+2n+1}M=n3+2n2+2n+1n3+2n2−1
Rút gọn A=căn((1+a^2)(1+b^2)(1+c^2))
cho a, b, c thoa man ab+bc+ca =1
rut gon ve dang ko chua can cua A= (1+a2)(1+b2)(1+c2)\sqrt{\left(1+a^2\right)\left(1+b^2\right)\left(1+c^2\right)}(1+a2)(1+b2)(1+c2)
please
Rút gọn A=căn(4-căn7)-căn(4+căn7)+căn7
giai giups nhanh nha,RUT GON
A=4−7−4+7+7\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}+\sqrt{7}4−7−4+7+7
B=6.5+12+6.5−12+26\sqrt{6.5+\sqrt{12}}+\sqrt{6.5-\sqrt{12}}+2\sqrt{6}6.5+12+6.5−12+26
C=46+65−29−125\sqrt{46+\sqrt{6\sqrt{5}}}-\sqrt{29-12\sqrt{5}}46+65−29−125
D=13−160−53+490\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}13−160−53+490
Rút gọn A=căn(9a^2-12a+4)-9a+1
cho minh hoi(rut gon)
A=9a2−12a+4−9a+1\sqrt{9a^2-12a+4}-9a+19a2−12a+4−9a+1
Rút gọn B=cănx/cănx +4 + 4/cănx - 4): x+16/cănx +2
Cho cac bieu thuc :
A=x+4x+2,B=(xx+4+4x−4):x+16x+2A=\dfrac{\sqrt{x}+4}{\sqrt{x}+2},B=\left(\dfrac{\sqrt{x}}{\sqrt{x}+4}+\dfrac{4}{\sqrt{x}-4}\right):\dfrac{x+16}{\sqrt{x}+2}A=x+2x+4,B=(x+4x+x−44):x+2x+16
a) Rut gon B ?
b) Tim cac gia tri nguyen cua x de cac gia tri cua bieu thuc B(A-1) la so nguyen.