Rút gọn A= 4x^2-4x+1
a) Rút gọn các biểu thức:
i i ) 4 x + 1 2 + 4 x – 1 2 – 2 ( 4 x + 1 ) ( 4 x – 1 )
ii) (4x + 1)2 + (4x – 1)2 – 2(4x + 1)(4x – 1)
= [(4x + 1) - (4x - 1)]2
= (4x + 1 - 4x + 1)2
= 22 = 4
rút gọn (a^2-1)(a^2-a+1)(a^2+a+1)
tìm x : (4x+1)(16^2-4x+1)-16x(4x^2-5)=17
Cho biết:
\(A=\dfrac{2x+1}{4x-2}+\dfrac{1-2x}{4x+2}-\dfrac{2}{1-4x^2}\)
a. Rút gọn A.
b. Tính giá trị A khi x=0,25
\(a,A=\dfrac{4x^2+4x+1-4x^2+4x-1+4}{2\left(2x-1\right)\left(2x+1\right)}=\dfrac{4\left(2x+1\right)}{2\left(2x-1\right)\left(2x+1\right)}=\dfrac{2}{2x-1}\\ b,x=0,25=\dfrac{1}{4}\Leftrightarrow A=\dfrac{2}{2\cdot\dfrac{1}{4}-1}=\dfrac{2}{-\dfrac{1}{2}}=-4\)
Rút gọn
a, (3x+2).(3x+2) - (3x+1)\(^2\)
b, (1-4x\(^2\)).(1+4x\(^2\))-(2x+3)\(^2\)
a) \(\left(3x+2\right)\left(3x+2\right)-\left(3x+1\right)^2=\left(3x+2\right)^2-\left(3x+1\right)^2=\left(3x+2-3x-1\right)\left(3x+2+3x+1\right)=1.\left(6x+3\right)=6x+3\)
b) \(\left(1-4x^2\right)\left(1+4x^2\right)-\left(2x+3\right)^2=1-16x^4-4x^2-12x-9=-16x^4-4x^2-12x-8\)
a: \(\left(3x+2\right)\left(3x+2\right)-\left(3x+1\right)^2\)
\(=9x^4+12x+4-9x^2-6x-1\)
=6x+3
b: \(\left(1-4x^2\right)\left(1+4x^2\right)-\left(2x+3\right)^2\)
\(=1-16x^4-4x^2-12x-9\)
\(=-16x^4-4x^2-12x-8\)
Bài 1: Rút gọn biểu thức:
a) A = \(\left(\frac{1}{x^2-4x}+\frac{2}{16-x^2}+\frac{4}{4x+16}\right):\frac{1}{4x}\)
\(A=\left(\dfrac{1}{x^2-4x}+\dfrac{2}{16-x^2}+\dfrac{4}{4x+16}\right):\dfrac{1}{4x}\left(x\ne4;x\ne-4;x\ne0\right).\)
\(A=\left(\dfrac{1}{x\left(x-4\right)}+\dfrac{-2}{\left(x+4\right)\left(x-4\right)}+\dfrac{1}{x+4}\right).4x\).
\(A=\dfrac{x+4-2x+x^2-4x}{x\left(x-4\right)\left(x+4\right)}.4x.\)
\(A=\dfrac{x^2-5x+4}{\left(x-4\right)\left(x+4\right)}.4.\)
\(A=\dfrac{\left(x-4\right)\left(x-1\right)}{\left(x-4\right)\left(x+4\right)}.4.\)
\(A=\dfrac{4\left(x-1\right)}{x+4}.\)
Rút gọn biểu thức: A=(2x+3) (4x^2-6x+9) - 2(4x^2-1)
\(A=\left(2x+3\right)\left(4x^2-6x+9\right)-2\left(4x^2-1\right)\)
\(=8x^3-12x^2+18x+12x^2-18x+27-8x^2+2\)
\(=8x^3-8x^2+29\)
ta có
\(A=\left(2x+3\right)\left(4x^2-6x+9\right)-2\left(4x^2-1\right)\)
\(A=8x^3-12x^2+18x+12x^2-18x+27-8x^2+2\)
\(A=8x^3-8x^2+29\)
Trả lời:
A = ( 2x + 3 ) ( 4x2 - 6x + 9 ) - 2 ( 4x2 - 1 )
= 8x3 - 12x2 + 18x + 12x2 - 18x + 27 - 8x2 + 2
= 8x3 - 8x2 + 29
Bài 1:)rút gọn
a) 2.(2x+5)2- 3.(4x+1).(1-4x)
b)y.(2y-1)-(2y2+3)
rút gọn (a^2-1)(a^2-a+1)(a^2+a+1)
tìm x : (4x+1)(16^2-4x+1)-16x(4x^2-5)=17
Giúp tui với!!
bài 1 rút gọn biểu thức
(x-2)^2-(x-3^2)
bài 2
cho phân thưc p =1-4x^2/4x^2-4x+1
a) rút gọn phân thức
b) tính giá trị của phân thức tại x=-4
Bài 1 :
\(\left(x-2\right)^2-\left(x-3^2\right)=\left(x-2\right)^2-\left(x-9\right)\)
\(=x^2-4x+4-x+9=x^2-5x+13\)
Bài 2 :
a, \(P=\frac{1-4x^2}{4x^2-4x+1}=\frac{\left(1-2x\right)\left(2x+1\right)}{\left(2x-1\right)^2}\)
\(=\frac{-\left(2x-1\right)\left(2x+1\right)}{\left(2x-1\right)^2}=\frac{-\left(2x+1\right)}{2x-1}=\frac{-2x-1}{2x-1}\)
b, Thay x = -4 ta được :
\(\frac{-2.\left(-4\right)-1}{2.\left(-4\right)-1}=\frac{8-1}{-8-1}=-\frac{7}{9}\)