Thực hiện phép tính:
a)(5x2-2x+1).(2x2-3x)
b)(18x4y3-6x2y3+12x3y4z):6x2y3
c)(6x3-7x2-x+1):(2x+1)
Thực hiện phép tính:
a)(5x2-2x+1).(2x2-3x)
b)(18x4y3-6x2y3+12x3y4z):6x2y3
c)(6x3-7x2-x+1):(2x+1)
a)(5x2-2x+1).(2x2-3x)
=10x4-4x3+2x2-15x3+6x2-3x
=10x4-19x3+8x2-3x
b)(18x4y3-6x2y3+12x3y4z):6x2y3
=(18x4y3:6x2y3)-(6x2y3:6x2y3)+(12x3y4z:6x2y3)
=3x2y-xy+2xyz
Thực hiện phép tính:
a)(5x2-2x+1).(2x2-3x)
\(\left(5x^2-2x+1\right)\left(2x^2-3x\right)=10x^4-15x^3-4x^3+6x^2+2x^2-3x\)
\(=10x^4-19x^3+8x^2-3x\)
Thực hiện phép chia
a). (3x2y2 + 6x2y3 - 12xy) : 3xy
b). (2x3 + 5x2 - 2x + 3) : (2x2 - x + 1)
\(b,=3xy\left(xy+2xy^2-4\right):3xy\\ =xy+2xy^2-4\\ c,=\left[\left(2x^3-x^2+x\right)+\left(6x^2-3x+3\right)\right]:\left(2x^2-x+1\right)\\ =\left[x\left(2x^2-x+1\right)+3\left(2x^2-x+1\right)\right]:\left(2x^2-x+1\right)\\ =\left[\left(x+3\right)\left(2x^2-x+1\right)\right]:\left(2x^2-x+1\right)\\ =x+3\)
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: \(=\dfrac{x^2\left(5-3x\right)+3\left(5-3x\right)}{5-3x}=x^2+3\)
Bài 9.Rút gọn biểu thức
a)-5x2+3x.(x+2)
b)-2x.(1-x2)-2x3
c)4x.(x-1)-4(x2+2x-1)
d)6x3-2x2(-x2-3x)
e)3x(x-1)-(1+2x).5x
f)-5x2-(x-6).(-2x2)
Giúp mình với mn
\(a\\ -5x^2+3x.\left(x+2\right)=-5x^2+3x^2+6x=-2x^2+6x\\ b\\ -2x.\left(1-x^2\right)-2x^3=-2x+2x^3-2x^3=-2x\\ c\\ 4x.\left(x-1\right)-4.\left(x^2+2x-1\right)\\ =4x^2-4x-4x^2-8x+4=-12x+4\)
\(d\\ 6x^3-2x^2.\left(-x^2-3x\right)=6x^3+2x^4+6x^3=2x^4+12x^3\\ e\\ 3x.\left(x-1\right)-\left(1+2x\right).5x\\ =3x^2-3x-5x-10x^2=-7x^2-8x\\ f\\ -5x^2-\left(x-6\right).\left(-2x^2\right)=-5x^2+2x^3-12x^2=2x^3-17x^2\)
Thực hiện các phép tính:
a) -7x2(3x - 4y) b) (x - 3)(5x - 4)
c) (2x - 1)2 d) (x + 3)(x - 3)
Tham khảo
a)
-7x2(3x - 4y)
= -7x2.3x + 7x2ư.4y
= -21x2 + 28x2y
b)
(x - 3)(5x - 4)
= x.5x - x.4 - 3.5x + 3.4
= 5x2 - 4x - 15x + 12
= 5x2 - 19x + 12
c)
(2x - 1)2 = 4x2 - 4x + 1
d)
(x + 3)(x - 3) = x2 - 32 = x2 - 9
a, = -21x3 +28x2y
b, = 5x2 -4x -15x +12
= 5x2 -19x +12
c, =x2 -9
a)-21x3+28x2y
b)5x2-19x+12
c)4x2-4x+1
d)x2-9
Thực hiện các phép tính:
a) -7x2(3x - 4y)
b) (x - 3)(5x - 4)
c) (2x - 1)2
d) (x + 7)(7 - x)
\(a,=-21x^3+28x^2y\\ b,=5x^2-4x-15x+12=5x^2-19x+12\\ c,=4x^2-4x+1\\ d,=49-x^2\)
Thực hiện phép chia: 6 x 3 − 7 x 2 − x + 2 : 2 x + 1
Thực hiện phép tính:
a)(x4-3x-1):(x2-x-1)
b)(x3-x2+5x-4):(-x+2x2+1)
c)(2x2+2x-5x3+2x4-1):(-x+x2+1)
\(a,=\left[x^2\left(x^2-x-1\right)+x^3+x^2-3x-1\right]:\left(x^2-x-1\right)\\ =\left[x^2\left(x^2-x-1\right)+x\left(x^2-x-1\right)+2x^2-2x-1\right]\\ =\left[x^2\left(x^2-x-1\right)+x\left(x^2-x-1\right)+2\left(x^2-x-1\right)+1\right]:\left(x^2-x-1\right)\\ =\left[\left(x^2+x+2\right)\left(x^2-x-1\right)+1\right]:\left(x^2-x-1\right)=x^2+x+2R1\)