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9 tháng 2 2022

2/5.xy(x2y-5x+10y)

=2/5.xy.x2y-2/5.xy.5x+2/5.xy.10y

=2/5.x3y2-2x2y+4xy2

26 tháng 11 2021

Answer:

Câu đầu bạn xem lại.

\(\left(3x+4\right)^2+\left(4x-3\right)^2+\left(2+5x\right).\left(2-5x\right)\)

\(=\left(3x\right)^2+2.2x.4+4^2+\left(4x\right)^2-2.4x.3+3^2+2^2-\left(5x\right)^2\)

\(=9x^2+24x+16+16x^2-24x+9+4-25x^2\)

\(=\left(9x^2+16x^2-25x^2\right)+\left(24x-24x\right)+\left(16+9+4\right)\)

\(=29\)

\(\left(5x+y\right).\left(25x^2-5xy+y^2\right)-\left(5x-y\right).\left(25x^2+5xy+y^2\right)\)

\(=\left(5x+y\right).[\left(5x\right)^2-5x.y+y^2]-\left(5x-y\right).[\left(5x\right)^2+5x.y+y^2]\)

\(=\left(5x\right)^3+y^3-[\left(5x\right)^3-y^3]\)

\(=\left(5x\right)^3+y^3-\left(5x\right)^3+y^3\)

\(=2y^3\)

8 tháng 10 2017

a)\([\)5(a-b)\(^3\)+2(a-b)\(^2]\):(b-a)\(^2\)

=\([\)5(a-b)\(^3\)+2(a-b)\(^2]\):(a-b)\(^2\)

=5(a-b)+2

b)5(x-2y)\(^3\):(5x-10y)

=5(x-2y)\(^3\):5(x-2y)

=(x-2y)\(^2\)

c)(x\(^3\)+8y\(^3\)):(x+2y)

=\([\)x\(^3\)+(2y)\(^3]\):(x+2y)

=(x+2y)(x\(^2\)-2xy+4y\(^2\)):(x+2y)

=x\(^2\)-2xy+4y\(^2\)

28 tháng 9 2017

a)\(3x\left(x^2-7x+9\right)\)

\(=3x.x^2-3x.7x+3x.9\)

\(=3x^3-21x^2+27x\)

b)\(\dfrac{2}{5}xy\left(x^2y-5x+10y\right)\)

\(=\dfrac{2}{5}xy.x^2y-\dfrac{2}{5}xy.5x+\dfrac{2}{5}xy.10y\)

\(=\dfrac{2}{5}x^3y^2-2x^2y+4xy^2\)

17 tháng 10 2017

Bài 45: (SBT/12):

a. (5x4 - 3x3 + x2) : 3x2

= (5x4 : 3x2) + (-3x3 : 3x2) + (x2 : 3x2)

=\(\dfrac{5}{2}\)x2 - x + \(\dfrac{1}{3}\)

b. (5xy2 + 9xy - x2y2) : (-xy)

= [5xy2 : (-xy)] + [9xy : (-xy)] + [(-x2y2) : (-xy)]

= -5y - 9 + xy

c. (x3y3 : \(\dfrac{1}{3}\)x2y3 - x3y2) : \(\dfrac{1}{3}\)x2y2

= (x3y3 : \(\dfrac{1}{3}\)x2y2) + (-\(\dfrac{1}{2}\)x2y3 : \(\dfrac{1}{3}\)x2y2) + (-x3y2 : \(\dfrac{1}{3}\)x2y2)

= 3xy - \(\dfrac{3}{2}\)y - 3x

8 tháng 10 2017

a)\((\dfrac{5}{7}x^2y)^3:(\dfrac{1}{7}xy)^3\)

=\((\dfrac{5}{7}x^2y:\dfrac{1}{7}:x:y)^3\)

=(\(\dfrac{5}{7}.7.x^2:x.y:y)^3\)

=(5x)\(^3\)

=5\(^3\).x\(^3\)

=125.x\(^3\)

a, \(=12x^5+9x^3y^2-6x^2y^3-20x^4y-15x^2y^3-10xy^4-24x^3y^2-18xy^4+12y^5\)

(tự rút gọn cái :P)

b, \(8x^3+4x^2y-2xy^2-y^3\)

\(=4x^2\left(2x+y\right)-y^2\left(2x+y\right)=\left(2x+y\right)^2\left(2x-y\right)\)

\(4x^2y^2-4x^2-4xy-y^2=4x^2y^2-\left(2x+y\right)^2\)

\(=\left(2x+y+2xy\right)\left(2xy-2x+y\right)\)

Mấy cái còn lại nhân tung ra là được mà :))))

21 tháng 2 2020

làm luôn đi cậu

19 tháng 4 2017

a) x2(5x3 – x - \(\dfrac{1}{2}\) )= x2. 5x3 + x2 . (-x) + x2 . (-\(\dfrac{1}{2}\))

= 5x5 – x3\(\dfrac{1}{2}\)x2

b) (3xy – x2 + y)\(\dfrac{2}{3}\)x2y = \(\dfrac{2}{3}\)x2y . 3xy + \(\dfrac{2}{3}\)x2y . (- x2) + \(\dfrac{2}{3}\)x2y . y

= 2x3y2\(\dfrac{2}{3}\)x4y + \(\dfrac{2}{3}\)x2y2

c) (4x3– 5xy + 2x)(- \(\dfrac{1}{2}\)xy) = - \(\dfrac{1}{2}\)xy . 4x3 + (- \(\dfrac{1}{2}\)xy) . (-5xy) + (- \(\dfrac{1}{2}\)xy) . 2x

= -2x4y + \(\dfrac{5}{2}\)x2y2 - x2y.




14 tháng 8 2017

a) x2 (5x3 - x - \(\dfrac{1}{2}\))

= 5x5 - x3 - \(\dfrac{1}{2}\)x2

b) (3xy - x2 + y) \(\dfrac{2}{3}\)x2y

= 2x3y2 - \(\dfrac{2}{3}\)x4y + \(\dfrac{2}{3}\)x2y2

c) (4x3 - 5xy +2x) (-\(\dfrac{1}{2}\)xy)

= -2x4y + \(\dfrac{5}{2}\)x2y2 - x2y