thực hiện phép chia
a)(x^5+2x^4-3x^3+2x^2-x-1):(2x-1)
b)(x^4-1):(x^2-1)
Thực hiện phép tính
a) (2x^4-5x^2+x^3-3-3x):(x^2-3) b) (x^5+x^3+x^2+1):(x^3+1)
c) (2x^3+5x^2-2x+3):(2x^2-x-1) d) (8x-8x^3-10x^2+3x^4-5):(3x^2-2x+1)
Mik cần gấppp
a: \(=\dfrac{2x^4+x^3-5x^2-3x-3}{x^2-3}\)
\(=\dfrac{2x^4-6x^2+x^3-3x+x^2-3}{x^2-3}\)
\(=2x^2+x+1\)
b: \(=\dfrac{x^5+x^2+x^3+1}{x^3+1}=x^2+1\)
c: \(=\dfrac{2x^3-x^2-x+6x^2-3x-3+2x+6}{2x^2-x-1}\)
\(=x+3+\dfrac{2x+6}{2x^2-x-1}\)
d: \(=\dfrac{3x^4-8x^3-10x^2+8x-5}{3x^2-2x+1}\)
\(=\dfrac{3x^4-2x^3+x^2-6x^3+4x^2-2x-15x^2+10x-5}{3x^2-2x+1}\)
\(=x^2-2x-5\)
Bài 1:Thực hiện phép tính
a,(5-2x)(x+3)-4x(x+2) b,(3x+1)(x-3)-4(x+2)(x-2)
c,3(x-4)(x+3)+(x-5)(x+3) d,2x(x-4)+(3x-1)(2x-5)
Bài 2:Tìm x biết
a,5x(x+3)-(5x+2)(x+3)=7
b,(3x-1)(3x+2)-9(x+2)(x-2)=10
c,(x+1)(2x-5)+2(3-x)(x+2)=7
d,(1-3x)(x+2)+3x(x-5)=8
thực hiện phép tính
1)2x^2(-3x^2+2x-1)
2)(x-3)(x+7)-(x+5)(x-1)
3)-2x(-3x+2)-(x+2)^2
4)(2x-3)(x^2-2x-4)
1) \(-6x^4+4x^3-2x^2\)
2) \(=x^2+4x-21-x^2-4x+5=-16\)
3) \(=6x^2-4x-x^2-4x-4=5x^2-8x-4\)
4) \(=2x^3-4x^2-8x-3x^2+6x+12=2x^3-7x^2-2x+12\)
làm tính chia
a, (2x^4 + x^3 - 3x^2 + 5x -2) : (x^2 - x +1)
b, ( 6x^2 + 13x - 5) : ( 2x +5)
c, (2x^4 + x^3 - 5x^2 - 3x - 3) : (x^2 - 3)
\(a,=\left(2x^4-2x^3+2x^2+3x^3-3x^2+3x-2x^2+2x-2\right):\left(x^2-x+1\right)\\ =\left(x^2-x+1\right)\left(2x^2+3x-2\right):\left(x^2-x+1\right)\\ =2x^2+3x-2\\ b,=\left(6x^2+15x-2x-5\right):\left(2x+5\right)\\ =\left(2x+5\right)\left(3x-1\right):\left(2x+5\right)=3x-1\\ c,=\left(2x^4-6x^2+x^3-3x+x^2-3\right):\left(x^2-3\right)\\ =\left(x^2-3\right)\left(2x^2+x+1\right):\left(x^2-3\right)=2x^2+x+1\)
3. Thực hiện phép tính:
a. 5/(2x ^ 2 * y) + 2/(3xy) - y/(x ^ 3)
b. (2x - 7)/(10x - 4) - (3x + 5)/(4 - 10x)
c. x ^ 2 + 1 - (x ^ 4 - 3x ^ 2)/(x ^ 2 - 1)
a: \(=\dfrac{5}{2x^2y}+\dfrac{2}{3xy}-\dfrac{y}{x^3}\)
\(=\dfrac{5\cdot3\cdot x}{6x^3y}+\dfrac{2\cdot2\cdot x^2}{6x^3y}-\dfrac{6y^2}{6x^3y}\)
\(=\dfrac{15x+4x^2-6y^2}{6x^3y}\)
b: \(=\dfrac{2x-7+3x+5}{10x-4}=\dfrac{5x-2}{10x-4}=\dfrac{1}{2}\)
c: \(=\dfrac{x^4-1-x^4+3x^2}{x^2-1}=\dfrac{3x^2-1}{x^2-1}\)
Bài 1: Thực hiện phép tính:
a) 2x.(3x + 3) b) 5x.(3x2-2x + 1) c) 3x2(2x +4)
d) 5x2.(3x2 + 4x – 1) e) (x-1).(2x +3) f) (x+2).(3x-5)
Bài 2: Tìm x, biết:
a) 3x(x+1) – 3x2 = 6
b) 3x(2x+1) – (3x +1).(2x-3) = 10
Bài 1:
\(a,=6x^2+6x\\ b,=15x^3-10x^2+5x\\ c,=6x^3+12x^2\\ d,=15x^4+20x^3-5x^2\\ e,=2x^2+3x-2x-3=2x^2+x-3\\ f,=3x^2-5x+6x-10=3x^2+x-10\)
Bài 2:
\(a,\Leftrightarrow3x^2+3x-3x^2=6\\ \Leftrightarrow3x=6\Leftrightarrow x=2\\ b,\Leftrightarrow6x^2+3x-6x^2+9x-2x-3=10\\ \Leftrightarrow10x=13\Leftrightarrow x=\dfrac{13}{10}\)
*Dạng 2: Đa thức BT1: Thực hiện phép tính a) 3x(x^2-5x+7) b) (x+4)(-x^2+6x+5) c) (3x-1)(3x+5)-7(x^2+2) d) (-5x^5 + 2x^4 - 1/3x^3): (-1/2x^3)
a: =3x^3-15x^2+21x
b: =-x^3+6x^2+5x-4x^2-24x-20
=-x^3+2x^2-19x-20
c: =9x^2+15x-3x-5-7x^2-14
=2x^2+12x-19
d: =10x^2-4x+2/3
Thực hiện các phép tính sau: a) (x²/x²+3x)+(3/x+3)+(3/x) b) (2/x+2)+(-4/2-x)+(5x+2/4-x²) c) (1/x-y)+(3xy/y³-x³)+(x-y/x²+xy+y²) d) (3-3x/2x)+(3x-1/2x-1)+(11x-5/2x-4x²)
Thực hiện phép tính :
a) 4/x+2 + 2/x-2 - 8/x2-4
b) -x/3x-2 + 7x-4/ 3x-2
c) x/2x+1 + -1/4x2-1 + 2-x/2x-1
d) 5/2x-3 + 2/2x+3 + -2x+33/9-4x2
a: \(=\dfrac{4x-8+2x+4-8}{\left(x-2\right)\left(x+2\right)}=\dfrac{6x-12}{\left(x-2\right)\left(x+2\right)}=\dfrac{6}{x+2}\)
b: \(=\dfrac{-x+7x-4}{3x-2}=\dfrac{6x-4}{3x-2}=2\)
c: \(=\dfrac{x}{2x+1}-\dfrac{1}{\left(2x+1\right)\left(2x-1\right)}-\dfrac{\left(x-2\right)}{2x-1}\)
\(=\dfrac{2x^2-x-1-\left(x-2\right)\left(2x+1\right)}{\left(2x+1\right)\left(2x-1\right)}\)
\(=\dfrac{2x^2-x-1-2x^2-x+4x+2}{\left(2x+1\right)\left(2x-1\right)}\)
\(=\dfrac{2x+1}{\left(2x+1\right)\left(2x-1\right)}=\dfrac{1}{2x-1}\)
d: \(=\dfrac{5}{2x-3}+\dfrac{2}{2x+3}+\dfrac{2x-33}{4x^2-99}\)
\(=\dfrac{10x+15+4x-6+2x-33}{\left(2x-3\right)\left(2x+3\right)}=\dfrac{16x-24}{\left(2x-3\right)\left(2x+3\right)}=\dfrac{8}{2x+3}\)