Question

Thực hiện phép tính:

a, (2x - y).(4x² - 2xy + y²)

b, (6x⁵y² - 9x⁴y³ + 15x³y⁴): 3x³y²

c, (2x³ - 21x² + 67x - 60): (x - 5)

d, (x⁴ + 2x³ + x - 25): (x²+ 5)

e, (27x³ - 8): (6x + 9x² + 4)

Answer 1

\(a,\left(2x-y\right)\left(4x^2-2xy+y^2\right)=\left(2x-y\right)\left(2x-y\right)^2=\left(2x-y\right)^3\)

\(b,\left(6x^5y^2-9x^4y^3+15x^3y^4\right):3x^3y^2=2x^2-3xy+5y^2\)

\(c,\left(2x^3-21x^2+67x-60\right):\left(x-5\right)=\left(2x^3-10x^2-11x^2+55x+12x-60\right):x-5=\left[2x^2\left(x-5\right)-11x\left(x-5\right)+12\left(x-5\right)\right]:\left(x-5\right)=\left(x-5\right)\left(2x^2-11x+12\right)\left(x-5\right):\left(x-5\right)=2x^2-11x+12\)