Bài toán 3 : Thực hiện phép chia.
a) (2x3 – 5x2 – x + 1) : (2x + 1)
b) (x3 – 2x + 4) : (x + 2)
c) (6x3 – 19x2 + 23x – 12) : (2x – 3)
d) (x4 – 2x3 – 1 + 2x) : (x2 – 1)
Những câu hỏi liên quan
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: \(=\dfrac{x^2\left(5-3x\right)+3\left(5-3x\right)}{5-3x}=x^2+3\)
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Thực hiện phép chia:a) (
2
x
3
+
5
x
2
- 2x + 3) : (2
x
2
- x +1);b) (
x
5
+
x
3
+
x
2
+1) : (
x
3
+1).
Đọc tiếp
Thực hiện phép chia:
a) ( 2 x 3 + 5 x 2 - 2x + 3) : (2 x 2 - x +1);
b) ( x 5 + x 3 + x 2 +1) : ( x 3 +1).
Bài 1: Thực hiện phép tính:
a) (2x4-x3 5x-6x2-1):(1-2x)
b)(x3-3x2 3x-2):(x2-x 1)
c) (2x3 5x2-2x 3):(2x2-x 1)
d)\(\dfrac{5x y^2}{x^2y}\) \(\dfrac{5y-x^2}{xy^2}\)
e)\(\dfrac{27-x^3}{5x 5}\):\(\dfrac{2x-6}{3x 3}\)
f)\(\dfrac{x 2}{4x 24}\).\(\dfrac...
Xem chi tiết
Thực hiện phép tính:
a)(4x4y-7x2y+3y).(2y-3x2y)
b)(x2+3x-\(\dfrac{3}{2}\)x3):(2x)-\(\dfrac{x}{2}\).(1-\(\dfrac{3}{2}\)x)
c)(-2x3-x-3+5x2):(3-2x)
a: \(\dfrac{4x^4y-7x^2y+3y}{-3x^2+2y}\)
\(=\dfrac{4x^4y-4x^2y-3x^2y+3y}{-\left(3x^2-2y\right)}\)
\(=\dfrac{4x^2y\left(x^2-1\right)-3y\left(x^2-1\right)}{-\left(3x^2-2y\right)}\)
\(=\dfrac{y\left(x^2-1\right)\left(4x^2-3\right)}{-\left(3x^2-2y\right)}\)
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a) `(4x^4y-7x^2y+3y).(2y-3x^2y)`
`=8x^4y^2-14x^2y^2+6y^2-12x^6y^2+21x^4y^2-9x^2y^2`
`=29x^4y^2-12x^6y^2-23x^2y^2+6y^2`
b) `(x^2+3x-3/2 x^3):2x - x/2 . (1-3/2 x)`
`=(x+3-3/2 x^2):2 - (x/2 - 3/4 x^2)`
`=x/2 + 3/2 - 3/4 x^2 -x/2 +3/4 x^2`
`=3/2`
c) `(-2x^3-x-3+5x^2):(3-2x)`
`=(3-2x)(x^2-x-1) : (3-2x)`
`=x^2-x-1`
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1. (x3 – 3x2 + x – 3) : (x – 3) 2. (2x4 – 5x2 + x3 – 3 – 3x) : (x2 – 3) 3. (x – y – z)5 : (x – y – z)3 4. (x2 + 2x + x2 – 4) : (x + 2) 5. (2x3 + 5x2 – 2x + 3) : (2x2 – x + 1) 6. (2x3 – 5x2 + 6x – 15) : (2x – 5)
1: \(=x^2+1\)
3: \(=\left(x-y-z\right)^2\)
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Phân tích
a,(x2 + x + 2)3 - (x+1)3 x6 +1 b,(x2 + 10x + 8)2 - (8x + 4)(x2 + 8x+7)
c, A x4 + 2x3 + 3x2 + 2x+4 d,B x4 + 4x3 + +8x2 + 8x + 4
e, C x4 - 2x3 + 5x2 - 4x + 4
Đọc tiếp
Phân tích
a,(x2 + x + 2)3 - (x+1)3 = x6 +1 b,(x2 + 10x + 8)2 - (8x + 4)(x2 + 8x+7)
c, A= x4 + 2x3 + 3x2 + 2x+4 d,B= x4 + 4x3 + +8x2 + 8x + 4
e, C= x4 - 2x3 + 5x2 - 4x + 4
thực hiện phép chia
(-3x3 + 5x2 - 9x + 15) : (-3 + 5)
(x4 - 2x3 + 2x -1) : (x2 - 1)
(5x4 + 9x3 - 2x2 - 4x -8) : (x-1)
(5x3 + 14x2 + 12x + 8) : (x+2)
c) Ta có: \(\dfrac{5x^4+9x^3-2x^2-4x-8}{x-1}\)
\(=\dfrac{5x^4-5x^3+14x^3-14x^2+12x^2-12x+8x-8}{x-1}\)
\(=\dfrac{5x^3\left(x-1\right)+14x^2\left(x-1\right)+12x\left(x-1\right)+8\left(x-1\right)}{x-1}\)
\(=5x^3+14x^2+12x+8\)
d) Ta có: \(\dfrac{5x^3+14x^2+12x+8}{x+2}\)
\(=\dfrac{5x^3+10x^2+4x^2+8x+4x+8}{x+2}\)
\(=\dfrac{5x^2\left(x+2\right)+4x\left(x+2\right)+4\left(x+2\right)}{x+2}\)
\(=5x^2+4x+4\)
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thực hiện phép chia
(-3x3 + 5x2 - 9x + 15) : (-3 + 5)
(x4 - 2x3 + 2x -1) : (x2 - 1)
(5x4 + 9x3 - 2x2 - 4x -8) : (x-1)
(5x3 + 14x2 + 12x + 8) : (x+2)
c) Ta có: \(\dfrac{5x^4+9x^3-2x^2-4x-8}{x-1}\)
\(=\dfrac{5x^4-5x^3+14x^3-14x^2+12x^2-12x+8x-8}{x-1}\)
\(=\dfrac{5x^3\left(x-1\right)+14x^2\left(x-1\right)+12x\left(x-1\right)+8\left(x-1\right)}{x-1}\)
\(=5x^3+14x^2+12x+8\)
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Thực hiện phép tính:
a,(2x- 4)(x+9)
b,(x2 + 4x +3)(x-2)
c,(x-8)(x+8)
d, x2(7x-5)-7(x3- 4x+6)
e,(x2+2)(x2+x+1)
f,(x2+2)(x4-2x2+4)
g,(x-g)(x+9)
h,(x-2)(2x3-x2+1)+(x2+1)+(x2-2x2)(1-2)x
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