(15x³y² - 6x²y - 3x²y²) : 6x²y

\(\dfrac{15x^3y^2}{6x^2y}-\dfrac{6x^2y}{6x^2y}-\dfrac{3x^2y^2}{6x^2y}\)

= \(\dfrac{5}{2}\)xy - \(\dfrac{1}{2}\)y

 Chúc bạn học tốt

Ta có: \(\left(15x^3y^2-6x^2y-3x^2y^2\right):6x^2y\)

\(=\dfrac{15x^3y^2}{6x^2y}-\dfrac{6x^2y}{6x^2y}-\dfrac{3x^2y^2}{6x^2y}\)

\(=\dfrac{5xy}{2}-1-\dfrac{y}{2}\)

(15x3y2 – 6x2y – 3x2y2) : 6x2y

= (15x3y2 : 6x2y) + (-6x2y) : 6x2y + (-3x2y2) : 6x2y

= (15 : 6).(x3 : x2).(y2 : y) + (-6 : 6).(x2 : x2).(y : y) + (-3 : 6).(x2 : x2).(y2 : y)

có ai biết giải k tôi cũng có bài tương tự nhưng k biết giải ?

(15x³y² - 6x²y-3x²y²):6x²y

= \(\dfrac{15xy}{6}-1-\dfrac{y}{2}\)

= \(\dfrac{5}{2}xy-1-\dfrac{y}{2}\)

a) \(=5x^3-x^2+2\)

b) \(=\dfrac{15}{6}xy-1-\dfrac{1}{2}y\)

\(a,=5x^3-x^2+2\\ b,=\dfrac{5}{2}x^2\cdot\dfrac{3}{2}y-1-\dfrac{1}{2}x\cdot\dfrac{1}{2}y=\dfrac{15}{4}x^2y-\dfrac{1}{4}xy-1\)

a) \(\left(6x^2y-\dfrac{1}{2}xy+12y\right)\left(-\dfrac{1}{3}xy\right)=-2x^3y^2+\dfrac{1}{6}x^2y^2-4xy^2\)

b) \(\left(2x+3-y\right)\left(2x-y\right)=4x^2+6x-2xy-2xy-3y+y^2=4x^2+y^2+6x-3y-4xy\)

c) \(3\left(4x+1\right)\left(4x-1\right)-12\left(4x^2+1\right)=3\left(16x^2-1\right)-48x^2-12=48x^2-3-48x^2-12=-15\)

b. (2x + 3 - y)(2x - y)

= 4x² - 2xy + 6x - 3y - 2xy + y²

= 4x² - 4xy + 6x - 3y + y²

= \(\left[\left(2x\right)^2-4xy+y^2\right]\) + (6x - 3y)

= (2x - y)² + 3(2x - y)

= (2x - y + 3)(2x - y)

b) \(\left(4x^2+4xy+y^2\right):\left(2x+y\right)=\dfrac{\left(2x+y\right)^2}{2x+y}=2x+y\)

c) \(\left(x^2-6xy+9y^2\right):\left(3y-x\right)=\dfrac{\left(3y-x\right)^2}{3y-x}=3y-x\)

Chọn  B

B

B

B

B.2y2+3xy-x2