Question

Разложите на множители: 2) а²-b²-a+b; 4) a³+a²b-ab²-b³; 6) xc-yc-x²+2xy-y². заранее спасибо!!

Answer 1

$(a - b)(a + b) - (a - b) = \\ (a - b)(a + b - 1)$
$4) {a}^{2} (a + b) - {b}^{2} (a + b) = \\ (a + b)( {a}^{2} - {b}^{2} )$
Последний не знаю

Answer 2

2) а²-b²-a+b= (a-b)*(a+b)-(a-b)=(a-b)*(a+b-1)

4)a³+a²b-ab²-b³= $a^{2}$*(a+b)-$b^{2}$*(a+b)=(a+b)*($a^{2}$-$b^{2}$=(a+b)*(a-b)*(a+b)=$(a+b)^{2}$*(a-b)

6)xc-yc-x²+2xy-y²=cx-cy-$x^{2}$+2yx-$y^{2}$

Answer 3

2. a² - b² - a + b = (a - b)(a + b) - (a - b) = (a - b)(a + b - 1)

3. a³ + a²b - ab² - b³ = (a + b)(a - b) a + b² - b³ = (a + b)(a - b)(a + b - b²)

4. xc - yc - x² + 2xy - y² = (x - y)(x + y - c) - (x - y)² = (x - y)(c - x - y)(x + y)