Question

bài 3 ; áp dụng hằng đẳng thức để thực hiện phép chia

h, ( 27x mũ 3 - 8 ) : ( 3x - 2 )

f, ( x mũ 2 - 2xy mũ 2 + y mũ 2 ) : ( x - y mũ 2 )

g, ( x mũ 4 - 2x mũ 2 + 1 ) : ( 1 - x mũ 2 )

Answer 1

h, \(27x^3-8=\left(3x-2\right)\left(9x^2+6x+4\right)\)

\(\Rightarrow\left(27x^3-8\right):\left(3x-2\right)\\ =\left(3x-2\right)\left(9x^2+6x+4\right):\left(3x-2\right)\\ =9x^2+6x+4\)

g, \(x^4-2x^2+1=\left(x^2-1\right)^2\)

\(\Rightarrow\left(x^4-2x^2+1\right):\left(1-x^2\right)\\ =\left(x^2-1\right)^2:\left(1-x^2\right)\\ =x^2-1\)