计算;
(4x² - y²)÷ (4x²- 4xy +y²)/(2x-y)
=(2x+y)(2x-y)÷(2x-y)²/(2x-y)
=2x+y
因式分解
4(a-b)² - 16(a+b)²
=4((a-b)²-(2(a+b))²)
=4(a-b-2a-2b)(a-b+2a+2b)
=4(-a-3b)(3a+b)
=-4(a+3b)(3a+b)
已知a-b=1, a² + b²=13,求(a³ -2b³) - (a²b -2ab²) - (ab² - b³)的值.
(a³ -2b³) - (a²b -2ab²) - (ab² - b³)
=a³-2b³-a²b+2ab²-ab²+b³
=a³-b³-a²b+ab²
=(a-b)(a²+ab+b²)-ab(a-b)
=a²+ab+b²-ab
=a²+b²
=13