Question

Thu gọn biểu thức sau:

(x² - 1).(x + 2) - (x- 2).(x² + 2x + 4)

Phân tích đa thức sau thành nhân tử:

a, 432x⁴ y + 250 xy⁴

b, x⁶ - x⁴ + 2x³ + 2x²

Answer 1

1. \(\left(x^2-1\right)\left(x+2\right)-\left(x-2\right)\left(x^2+2x+4\right)=x^3+2x^2-x-2-x^3+8=2x^2-x+6\)2.

\(a.432x^4y+250xy^4=2xy\left(216x^3+125y^3\right)=2xy\left(6x+5y\right)\left(36x^2+30xy+25x^2\right)\)

\(b.x^6-x^4+2x^3+2x^2=x^4\left(x^2-1\right)+2x^2\left(x+1\right)=x^4\left(x+1\right)\left(x-1\right)+2x^2\left(x+1\right)=\left(x+1\right)\left(x^5+x^4+2x^2\right)\)