分解因式: x눀-4y눀 x눀-x-6 a눀-2a(b+c)+(b+c)눀 先化简再求值:

2024-12-25 19:36:02
推荐回答(3个)
回答1:

(a-2b)(a²+2ab+4b²)=a³-(2b)³,a(a-5b(a+3b)这个什么意思没看懂,有错误,反正减号前面的我告诉你了,这是个公式,一定要记住a³-b³=(a-b)(a²+ab+b²)另一个是
a³+b³=(a+b)(a²-ab+b²)自己找规律吧,整道题我就不解了哈-。-

回答2:

(a - 2b)(a² + 2ab + 4b²) - a(a - 5b)(a + 3b)
= a³ - (2b)³ - (a² - 5ab)(a + 3b)
= a³ - 8b³ - [(a² - 5ab)a + (a² - 5ab)(3b)]
= a³ - 8b³ - (a³ - 5a²b + 3a²b - 15ab²)
= a³ - 8b³ - a³ + 5a²b - 3a²b + 15ab²
= 5a²b - 8b³ - 3a²b + 15ab²
= 5(- 1)² - 8 - 3(- 1)² + 15(- 1)
= - 21

x² - 4y²
= x² - (2y)²
= (x + 2y)(x - 2y)

x² - x - 6
= (x + 2)(x - 3)

a² - 2a(b + c) + (b + c)²
= a² - 2 · a · (b + c) + (b + c)²
= [a - (b + c)]²
= (a - b - c)²

回答3:

x²-4y² =(x+2y)(x-2y)
x²-x-6=(x-3)(x+2)
a²-2a=a(a-2)
(b+c)+(b+c)²
=(b+c)(b+c+1)