Question

Thực hiện phép tính: 2*x^2*y^2(x^3*y^2-x^2*y^3-1/2*y^5)

Answer 1

\(2x^2y^2\left(x^3y^2-x^2y^3-\dfrac{1}{2}y^5\right)\)

\(=2x^2y^2\cdot x^3y^2-2x^2y^2\cdot x^2y^3-2x^2y^2\cdot\dfrac{1}{2}y^5\)

\(=2x^5y^4-2x^4y^5-x^2y^7\)

Answer 2

\(2x^2y^2(x^3y^2-x^2y^3-\frac12y^5)\\=2x^2y^2.x^3y^2+2x^2y^2.(-x^2y^3)+2x^2y^2.(-\frac12y^5)\\=2.(x^2.x^3).(y^2.y^2)+2.(-1).(x^2.x^2).(y^2.y^3)+2.(-\frac12).x^2.(y^2.y^5)\\=2x^5y^4-2x^4y^5-x^2y^7\)