thực hiện phép tính
a) x (2x + 5 ) b) 3x2(5x3- 2x + 9 )
c) (x+2)(4x3 + x - 7) d) (16x2y+12x3y4-4x2y) : 4x2y
Thực hiện phép tính:
a) A = 3 4 x 3 y 2 . ( 4 x 2 y - x + y 5 ) ;
b) B = - 2 3 x ( - x 4 y 2 - 2 x 2 - 10 y 2 ) ;
c) C = ( - 2 x 2 y 3 + 3 8 y 4 - 2 5 xy ) . 10 xy
a/ 4x3 – xy2
b/ 5x3 – 10x2 + 5x
c/4x2 +24x+36-4y2
d/ 4x2y2 - 8xy2 + 4y2
e/ x3y + 10x2y + 35xy
f/2x3 –4x2y+2xy2–8x
g/3x2 –9xy–6x+18y
h/ x2y2 – 3xy2 + 2xy – 6y
a: \(4x^3-xy^2\)
\(=x\left(4x^2-y^2\right)\)
\(=x\left(2x-y\right)\left(2x+y\right)\)
b: \(5x^3-10x^2+5x\)
\(=5x\left(x^2-2x+1\right)\)
\(=5x\left(x-1\right)^2\)
c: \(4x^2+24x+36-4y^2\)
\(=4\left(x^2+6x+9-y^2\right)\)
\(=4\left(x+3-y\right)\left(x+3+y\right)\)
a) \(4x^3-xy^2=x\left(4x^2-y^2\right)=x\left(2x-y\right)\left(2x+y\right)\)
b) \(5x^3-10x^2+5x=5x\left(x^2-2x+1\right)=5x\left(x-1\right)^2\)
c) \(4x^2+24x+36-4y^2=\left(2x+6\right)^2-4y^2=\left(2x+6-2y\right)\left(2x+6+2y\right)\)
d) \(4x^2y^2-8xy^2+4y^2=4y^2\left(x^2-2x+1\right)=4y^2\left(x-1\right)^2\)
e) \(x^3y+10x^2y+35xy=xy\left(x^2+10x+35\right)\)
f) \(2x^3-4x^2y+2xy^2-8x=2x\left(x^2-2xy+y^2-4\right)=2x\left[\left(x-y\right)^2-4\right]=2x\left(x-y-2\right)\left(x-y+2\right)\)
g) \(3x^2-9xy-6x+18y=3x\left(x-2\right)-9y\left(x-2\right)=3\left(x-2\right)\left(x-3y\right)\)
h) \(x^2y^2-3xy^2+2xy-6y=xy\left(xy+2\right)-3y\left(xy+2\right)=\left(xy+2\right)\left(xy-3y\right)\)
g: \(3x^2-9xy-6x+18y\)
\(=3x\left(x-3y\right)-6\left(x-3y\right)\)
\(=3\left(x-2\right)\left(x-3y\right)\)
h: \(x^2y^2-3xy^2+2xy-6y\)
\(=xy^2\left(x-3\right)+2y\left(x-3\right)\)
\(=y\left(xy+2\right)\left(x-3\right)\)
1/ Thực hiện phép nhân :
a) x2 ( 5x3 - x - \(\dfrac{1}{2}\))
b) ( 3xy - x2 + y ) \(\dfrac{2}{3}\)x2y
c) x2 ( 4x3 - 5xy + 2x ) ( -\(\dfrac{1}{2}\) xy )
2/ Tìm x, biết
a) 3x( 12x - 4 ) - 9x (4x - 3 ) = 30
b ) x( 5 - 2x ) + 2x ( x - 1 )= 15
2.
a. 3x(12x - 4) - 9x(4x - 3) = 30
<=> 36x2 - 12x - 36x2 + 27x = 30
<=> 36x2 - 36x2 - 12x + 27x = 30
<=> 15x = 30
<=> x = 2
b. x(5 - 2x) + 2x(x - 1) = 15
<=> 5x - 2x2 + 2x2 - 2x = 15
<=> -2x2 + 2x2 + 5x - 2x = 15
<=> 3x = 15
<=> x = 5
a) x2 ( 5x3 - x - 2323x2y= 6969x3y2- 2323x4y+ 2323x2y2
c) x2 ( 4x3 - 5xy + 2x ) ( -
Bài 1: Thực hiện phép tính
a)5x3(3x2 – 5x + 3) c)x2 ( 2x3 – 4x + 3)
b) -1\(\dfrac{1}{2}\)x22x – 1)(x2 + 5x – 4) d) (3x – 4)(2x + 4) + (5 – x)(2x2 + 3x – 2)
a: \(=15x^5-25x^4+15x^3\)
b: \(=2x^3+10x^2-8x-x^2-5x+4\)
\(=2x^3+9x^2-13x+4\)
1,chia:
a, ( 4x3- 19x+15): (2x- 3)
b, (5x4+ 9x3-2x2-4x-8) : ( x+1)
c, (5x3+14x2+3x+1) ; (x+2)
d,( x3+3x2+3x+1): (x+1)
2,tìm x để
(3x2+mx+27): (x+5)
Thực hiện phép tính
a) (- 4x2y ) . 2xy3z2 b) ( 5x2y2 ) .(- 2xy3z2 )
d) 15x -10 x e)-7x + 17x
Cảm ơn nhiều ạ^^
Thực hiện các phép nhân hai đa thức sau:
a) 5x3 – 2x2 + 4x – 4 và x3 + 3x2 – 5
b) -2,5.x4 + 0,5x2 + 1 và 4x3 – 2x + 6
a) (5x3 – 2x2 + 4x – 4) . ( x3 + 3x2 – 5)
= 5x3 . ( x3 + 3x2 – 5) - 2x2 . ( x3 + 3x2 – 5) + 4x . ( x3 + 3x2 – 5) – 4 . ( x3 + 3x2 – 5)
= 5x3 . x3 + 5x3 . 3x2 + 5x3 . (-5) – [ 2x2 . x3 + 2x2 . 3x2 +2x2 . (-5)] + [4x . x3 + 4x. 3x2 + 4x . (-5)] – [ 4x3 + 4.3x2 + 4.(-5)]
= 5x6 + 15x5 – 25x3 – (2x5 + 6x4 – 10x2) + 4x4 + 12x3 – 20x – (4x3 + 12x2 – 20)
= 5x6 + 15x5 – 25x3 – 2x5 - 6x4 + 10x2 + 4x4 + 12x3 – 20x – 4x3 - 12x2 + 20
= 5x6 + (15x5 – 2x5 ) + (- 6x4 + 4x4 ) + (-25x3 + 12x3 – 4x3 ) + (10x2 - 12x2 ) – 20x + 20
= 5x6 + 13x5 – 2x4 – 17x3 -2x2 – 20x + 20
b) (-2,5.x4 + 0,5x2 + 1) . (4x3 – 2x + 6)
= -2,5.x4 . (4x3 – 2x + 6) + 0,5x2 . (4x3 – 2x + 6) + 1. (4x3 – 2x + 6)
= (-2,5.x4) . 4x3 + (-2,5.x4 ) . (-2x) + (-2,5.x4 ) . 6 + 0,5x2 . 4x3 + 0,5x2 . (-2x) + 0,5x2 . 6 + 4x3 – 2x + 6
= -10x7 + 5x5 – 15x4 + 2x5 – x3 + 3x2 + 4x3 – 2x + 6
= -10x7 + ( 5x5 + 2x5 ) - 15x4 + (– x3 + 4x3 ) + 3x2 – 2x + 6
= -10x7 +7x5 - 15x4 + 3x3 + 3x2 – 2x + 6
Thực hiện phép tính
a, A=(3x2y−11x2−5y)(8xy−5x+6)
b,B=(−4x2y−5x2+3y2)(2x2−xy+3y2)
c,C=5(2x−1)2+4(x−1)(x+3)−2(3x−1)(3x+1)
Thực hiện phép tính
a) x. (x + y) + 5y - x2
b) (x - 2). (y + 1) - xy + 4
c) (4x2y + 12xy2 - 8xy) : (2xy)
d) (x - 4)2 - 7 + 8x
Bài 6. Cho x2 + xy = 3
Tính giá trị biểu thức M = x(x2 + y) + x2(y + 1) - 3(x + 1)
Bài 1:
a: \(x\left(x+y\right)+5y-x^2\)
\(=x^2+xy+5y-x^2\)
=xy+5y
b: \(\left(x-2\right)\left(y+1\right)-xy+4\)
\(=xy+x-2y-2-xy+4\)
=-2y+x+2
c: \(\dfrac{\left(4x^2y+12xy^2-8xy\right)}{2xy}\)
\(=\dfrac{2xy\cdot2x+2xy\cdot6y-2xy\cdot4}{2xy}\)
=2x+6y-4
d: \(\left(x-4\right)^2+8x-7\)
\(=x^2-8x+16+8x-7\)
\(=x^2+9\)