Thực hiện phép trừ : 1/x-2 - 4/3x+2 - 3x-6/4-9x^2 .Cho mình hỏi câu này làm sao vậy ạ
cho mik hỏi với ạ câu này làm kiểu j vậy ạ
rút gọn biểu thức : A= (x+ 3 ) + 2(x+3) (x-3) -3x(x-3 )
thực hiện phép tính : 2x
Bài 1:
a) Ta có: \(A=\left(x+3\right)^2+2\left(x+3\right)\left(x-3\right)-3x\left(x-3\right)\)
\(=x^2+6x+9+2\left(x^2-9\right)-3x^2+9x\)
\(=-2x^2+15x+9+2x^2-18\)
\(=15x-9\)
b) Ta có: \(\dfrac{2x}{3x-3y}-\dfrac{x^2}{x-y}\)
\(=\dfrac{2x}{3\left(x-y\right)}-\dfrac{3x^2}{3\left(x-y\right)}\)
\(=\dfrac{2x-3x^2}{3\left(x-y\right)}\)
c) Ta có: \(\left(x-1\right)^2+x\left(4-x\right)=0\)
\(\Leftrightarrow x^2-2x+1+4x-x^2=0\)
\(\Leftrightarrow2x+1=0\)
\(\Leftrightarrow2x=-1\)
hay \(x=-\dfrac{1}{2}\)
Vậy: \(x=-\dfrac{1}{2}\)
\(\dfrac{1}{3x-2}-\dfrac{1}{3x+2}-\dfrac{3x-6}{4-9x^2}\)
Thực hiện phép tính
\(đk:\left\{{}\begin{matrix}3x-2\ne0\\3x+2\ne0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x\ne\dfrac{2}{3}\\x\ne-\dfrac{2}{3}\end{matrix}\right.\)
\(\dfrac{1}{3x-2}-\dfrac{1}{3x+2}-\dfrac{3x-6}{4-9x^2}\\ =\dfrac{1}{3x-2}-\dfrac{1}{3x+2}+\dfrac{3x-6}{9x^2-4}\\ =\dfrac{3x+2-\left(3x-2\right)+3x-6}{9x^2-4}\\ =\dfrac{3x+2-3x+2+3x-6}{9x^2-4}\\ =\dfrac{3x-2}{\left(3x-2\right)\left(3x+2\right)}\\ =\dfrac{1}{3x+2}\)
3x^2(x^3-3x^2+1)
=3x^2.x^3+3x^2.(-3x^)+3x^2.1
=3x^5-9x^4+3x^2
mấy bạn ơi sao ra 3x^5-9x^4 vậy chỉ mk với mình cần gấp ạ
Bài 1 ( Nếu k làm đc hàng ngang thì đặt cột dọc làm cx đc ạ )
a) ( 2x^4-5x^2+x^3-3-3x):(x^2-3)
b)(2x^3+5x^2+3):(2x^2-x+1)
c) (2x+4y)^2 : (x+2y)-(9x^3-12x^2-3x):(-3x)-3(x^2+3)
Bài 2 : [Đặt tính chia cột dọc ( làm ra vỏe chụp càng tốt ạ )] Thực hiện phép chia f(x) cho g(x) để tìm thương và dư :
a) f(x) = 4x^3 - 3x^2 +1 ; g(x)= x^2+2x-1
b) f(x) = 2-4x+3x^4+7x^2-5x^3;g(x)= 1+2x-4x
thực hiện phép tính
\(\dfrac{1}{3x-2}-\dfrac{1}{3x+2}-\dfrac{3x-6}{9x^2-4}\)
\(\dfrac{x+25}{2x^2-50}-\dfrac{x+5}{x^2-5x}-\dfrac{5-x}{2x^2+10x}\)
\(\dfrac{1-2x}{2x}-\dfrac{4x}{2x-1}-\dfrac{3}{2x-4x^2}\)
a) \(\dfrac{1}{3x-2}-\dfrac{1}{3x+2}-\dfrac{3x-6}{9x^2-4}\)
\(=\dfrac{3x+2-3x+2-3x+6}{\left(3x-2\right)\left(3x+2\right)}\)
\(=\dfrac{-3x+10}{\left(3x-2\right)\left(3x+2\right)}\)
b) \(\dfrac{x+25}{2x^2-50}-\dfrac{x+5}{x^2-5x}-\dfrac{5-x}{2x^2+10x}\)
\(=\dfrac{x+25}{2\left(x-5\right)\left(x+5\right)}-\dfrac{x+5}{x\left(x-5\right)}+\dfrac{x-5}{2x\left(x+5\right)}\)
\(=\dfrac{x^2+25x-2\left(x+5\right)^2+\left(x-5\right)^2}{2x\left(x-5\right)\left(x+5\right)}\)
\(=\dfrac{x^2+25x-2x^2-20x-50+x^2-10x+25}{2x\left(x-5\right)\left(x+5\right)}\)
\(=\dfrac{-5x-25}{2x\left(x-5\right)\left(x+5\right)}\)
\(=\dfrac{-5\left(x+5\right)}{2x\left(x-5\right)\left(x+5\right)}=\dfrac{-5}{2x\left(x-5\right)}\)
c) Ta có: \(\dfrac{1-2x}{2x}-\dfrac{4x}{2x-1}-\dfrac{3}{2x-4x^2}\)
\(=\dfrac{-\left(2x-1\right)^2-8x^2+3}{2x\left(2x-1\right)}\)
\(=\dfrac{-\left(4x^2-4x+1\right)-8x^2+3}{2x\left(2x-1\right)}\)
\(=\dfrac{-4x^2+4x-1-8x^2+3}{2x\left(2x-1\right)}\)
\(=\dfrac{-12x^2+4x+2}{2x\left(2x-1\right)}\)
Thực hiện các phép tính sau: a) (x-1).(2x-1) b) (9x^4+12x^3-15x^2-3x) : 3x
\(a,\left(x-1\right)\left(2x-1\right)\)
\(=2x^2-x-2x+1\)
\(=2x^2-3x+1\)
\(b,\left(9x^4+12x^3-15x^2-3x\right):3x\)
\(=3x^3+4x^2-5x-1\)
Thực hiện phép chia:
1. (-3x3 + 5x2 - 9x + 15) : ( 3x + 5)
2. ( 5x4 + 9x3 - 2x2 - 4x - 8) : ( x-1)
3. ( 5x3 + 14x2 + 12x + 8 ) : (x + 2)
4. ( x4 - 2x3 + 2x -1 ) : ( x2 - 1)
5. ( 5x2 - 3x3 + 15 - 9x ) : ( 5 - 3x)
6. ( -x2 + 6x3 - 26x + 21) : ( 3 -2x )
1: Sửa đề: 3x-5
\(=\dfrac{-x^2\left(3x-5\right)-3\left(3x-5\right)}{3x-5}=-x^2-3\)
2: \(=\dfrac{5x^4-5x^3+14x^3-14x^2+12x^2-12x+8x-8}{x-1}\)
=5x^2+14x^2+12x+8
3: \(=\dfrac{5x^3+10x^2+4x^2+8x+4x+8}{x+2}=5x^2+4x+4\)
4: \(=\dfrac{\left(x^2-1\right)\left(x^2+1\right)-2x\left(x^2-1\right)}{x^2-1}=x^2+1-2x\)
5: \(=\dfrac{x^2\left(5-3x\right)+3\left(5-3x\right)}{5-3x}=x^2+3\)
THỰC HIỆN PHÉP TÍNH
α) 3x.(x2_ 5x+7)
b) -2xy.(2x3+5x-1)
c) (x+4).(-x2+6x+5)
d) (x2-1).(2x2-3x+4)
e) (x+2y).(x-2y)
f) (-12x3y4+6xy2-18xy):6xy
g) (6x2y5-xy3+4x3y2):2xy
h) (3x-1)2-7.(x2+2)
i) (x3-3x2+5x-6):(x-2)
j) (x3+8y3):(x+2y)
Mn giúp em lm các bài này vs ạ em đang cần gấp.Em cảm trc ạ.
a)=\(3x^3-15x^2+21x\)
b)\(=-2x^4y-10x^2y+2xy\)
c)\(=-x^3+6x^2+5x-4x^2+24x+20=-x^3+2x^2+29x+20\)
d)\(=2x^4-3x^3+4x^2-2x^2+3x-4=2x^4-3x^32x^2+3x-4\)
e)\(=x^2-4y^2\)
f)\(=-2x^2y^3+y-3\)
g)\(=3xy^4-\dfrac{1}{2}y^2+2x^2y\)
h)\(=9x^2-6x+1-7x^2-14=2x^2-6x-13\)
i)\(=x^2-x-3\)
j)\(=\left(x+2y\right)\left(x^2-2y+4y^2\right):\left(x+2y\right)=x^2-2y+4y^2\)
làm phép tính
c) \(\frac{1}{3x-2}-\frac{4}{3x+2}-\frac{3x-6}{4-9x^2}\)
d) \(x-2-\frac{x^2-10}{x+2}\)
e)\(\frac{1}{2x-2y}-\frac{1}{2x+2y}+\frac{y}{y^2-x^2}\)
g) \(\frac{4-2x+x^2}{x+2}-2-x\)
i) \(\frac{1}{2x+3}-\frac{1}{2x-3}+\frac{x-2}{2x^2-x-3}\)
ai giỏi toán giúp mình mấy câu này với mai mình học rồi mình cần gấp giúp với ạ
c: \(=\dfrac{1}{3x-2}-\dfrac{4}{3x+2}+\dfrac{3x-6}{\left(3x-2\right)\left(3x+2\right)}\)
\(=\dfrac{3x+2-12x+8+3x-6}{\left(3x-2\right)\left(3x+2\right)}\)
\(=\dfrac{-6x+4}{\left(3x-2\right)\left(3x+2\right)}=\dfrac{-2}{3x+2}\)
d: \(=\dfrac{x^2-4-x^2+10}{x+2}=\dfrac{6}{x+2}\)
e: \(=\dfrac{1}{2\left(x-y\right)}-\dfrac{1}{2\left(x+y\right)}-\dfrac{y}{\left(x-y\right)\left(x+y\right)}\)
\(=\dfrac{x+y-x+y-2y}{2\left(x-y\right)\left(x+y\right)}=\dfrac{0}{2\left(x-y\right)\left(x+y\right)}=0\)