a, (4a² – 4a + 1) : (1 – 2x)
b, (25x² – 4y²) : (5x – 2y)
c, (27x³ + 8) : (3x + 2)
d, x³ + 1 : x + 1
Dùng hằng đẳng thức để thực hiện phép chia
a, (4a² – 4a + 1) : (1 – 2x)
b, (25x² – 4y²) : (5x – 2y)
c, (27x³ + 8) : (3x + 2)
d, x³ + 1 : x + 1
Dùng hằng đẳng thức để thực hiện phép chia
a) $\dfrac{4a^2 – 4a + 1}{1 – 2a}$
$= \dfrac{(1- 2a)^2}{1 – 2a}$
$= 1 – 2a$
b) $\dfrac{25x^2 – 4y^2}{5x – 2y}$
$= \dfrac{(5x – 2y)(5x + 2y)}{5x – 2y}$
$= 5x + 2y$
c) $\dfrac{27x^3 + 8}{3x + 2}$
$= \dfrac{(3x + 2)(9x^2 – 6x + 4)}{3x + 2}$
$= 9x^2 – 6x + 4$
d) $\dfrac{x^3 + 1}{x + 1}$
$= \dfrac{(x+1)(x^2 -x + 1)}{x + 1}$
$= x^2 – x + 1$