Question

1. Phân tích các đa thức sau thành phân tử

8xy²+24x²y-32x³y²

x²-16x-y²+64

2. Tìm x biết

(x-4)²2-(12x+x²)=6

 

Answer 1

Bài 1:

a) \(8xy^2+24x^2y-32x^3y^2=8xy\left(y+3x-4x^2y\right)\)

b) \(x^2-16x-y^2+64=\left(x-8\right)^2-y^2=\left(x-8-y\right)\left(x-8+y\right)\)

Bài 2:

\(\left(x-4\right)^2-\left(12x+x^2\right)=6\)

\(\Rightarrow x^2-8x+16-12x-x^2=6\)

\(\Rightarrow20x=10\Rightarrow x=\dfrac{1}{2}\)

Answer 2

\(1,\\ =8xy\left(y+3x-4x^2y\right)\\ =\left(x-8\right)^2-y^2=\left(x-y-8\right)\left(x+y-8\right)\)

\(2,\Leftrightarrow x^2-8x+16-12x-x^2=6\\ \Leftrightarrow-20x=-10\\ \Leftrightarrow x=2\)