Giải bài 1.25 trang 16

Đề bài

Thực hiện phép chia

a) $\left(2,5x^3{y}^2-x^2{y}^3+1,5x{y}^4\right):5x{y}^2;$

b) $\left(3x^5{y}^3+4x^4{y}^4-5x^3{y}^5\right):2x^2{y}^2$.

Lời giải chi tiết

a) $\left(2,5x^3{y}^2-x^2{y}^3+1,5x{y}^4\right):5x{y}^2$

$=\left(2,5x^3{y}^2:5x{y}^2\right)+\left(-x^2{y}^3:5x{y}^2\right)+\left(1,5x{y}^4:5x{y}^2\right)$

$=\frac{1}{2}{x}^2-\frac{1}{5}xy+\frac{3}{10}{y}^2$.

b) $\left(3x^5{y}^3+4x^4{y}^4-5x^3{y}^5\right):2x^2{y}^2$

$=\left(3x^5{y}^3:2x^2{y}^2\right)+\left(4x^4{y}^4:2x^2{y}^2\right)+\left(-5x^3{y}^5:2x^2{y}^2\right)$

$=\frac{3}{2}{x}^{3}y+2x^2{y}^2-\frac{5}{2}x{y}^3$.