Question

Làm phép chia bằng cách áp dụng hằng đẳng thức:

a) \(\left(x^8-2x^4y^4+y^8\right):\left(x^2+y^2\right)\)

b) \(\left(64x^3+27\right):\left(16x^2-12x+9\right)\)

c) \(\left(x^3-9x^2+27x-27\right):\left(x^2-6x+9\right)\)

d) \(\left(x^3y^6z^9-1\right):\left(xy^2z^3-1\right)\)

Answer 1

a: \(=\dfrac{\left(x^4-y^4\right)^2}{x^2+y^2}=\left(x^2-y^2\right)^2\cdot\left(x^2+y^2\right)\)

b: \(=\dfrac{\left(4x+3\right)\left(16x^2-12x+9\right)}{16x^2-12x+9}=4x+3\)