Question

Выражения. 1) (a-2)² 2) (a-3)(a+3) 3) (x-1)(x²+x+1) 4) 2(c-2)(2+c) 5) (x²+3)² 6) (a-3)(a+6) 7) (a+3)² 8) (a-2)(a+2) 9) (x+3)(x²-3x+9) 10) (3a+2)(2-3a) 11) (c²-4)² 12) (x-2)(x+1)

Answer 1

1) (а-2)^2=а^2-4а+4
2) (a-3)(a+3)=а^2+3а-3а-9=а^2-9
3) (x-1)(x²+x+1)=х^3+х^2+х-х^2-х-1=х^3-1
4) 2(c-2)(2+c)=2(с-2)(с+2)=2(с^2-4)=2с^2-8
5) (x²+3)²=х^4+6х^2+9
6) (a-3)(a+6)=а^2+6а-3а-18=а^2+3а-18
7) (a+3)²=а^2+6а+9
8) (a-2)(a+2)=а^2-4
9) (x+3)(x²-3x+9)=х^3-3х^2+9х+3х^2+9х+27=х^3+27
10) (3a+2)(2-3a)=(2+3а)(2-3а)=4-9а^
11) (c²-4)²=с^4-8с^2+16
12) (x-2)(x+1)=х^2+х-2х-2=х^2-х-2

Answer 2

1) (a-2)²= a² - 4a + 4
2) (a-3)(a+3) = a² - 9
3) (x-1)(x²+x+1) = x^3 - 1
4) 2(c-2)(2+c) = 2c² - 8
5) (x²+3)² = x^4 + 6x² + 9
6) (a-3)(a+6) = a² + 3a - 18
7) (a+3)² = a² + 6a + 9
8) (a-2)(a+2) = a² - 4
9) (x+3)(x²-3x+9) = x^3 + 27
10) (3a+2)(2-3a) = 4 - 9a²
11) (c²-4)² = c^4 - 8c² + 16
12) (x-2)(x+1) = x² - x - 2