Question

Даю 50 баллов помогите пожалуйста.

Answer 1

Ответ:

1. $4a^{2} (4a^{2}-a+2 )$

2. $(x-2)(7-x)$

3. $5a-ab+5c-cb= a(5-b)+c(5-b)=(5-b)(a+c)$

4. $9a^{2}- c^{2} = (3a-c)(3a+c)$

5. $2b^{2} -12bc + 18 x^{2} = 2(b^{2} - 6bc + 9c^{2} )= 2(b-3c)^{2}$

6. $\frac{x^{2}+4x }{x^{2}-16} = \frac{x(x+4)}{(x-4)(x+4)} =\frac{x}{x-4}$

7. $2c(c-b)-(c-3)(c+3)=2c^{2} -2bc- (c^{2} - b^{2} )=2c^{2} -2bc- c^{2} + b^{2} = \\=c^{2} -2bc+b^{2}= (c-b)^{2}$

8. $(x-1)(2x-6)=0\\1. x-1=0\\ x=1\\2.2x-6=0\\2x=6\\x=3\\Otvet: x=1; x=3$

9.$x^{2} -16=0\\x^{2} =16\\x=+4; x=-4$

10.$(a+b)^{2} -(a^{2} -b^{2} )= (a+b) (a+b) -((a-b)(a+b))=(a+b)(a-b)$

11. $a^{4}b+ab^{4} =ab(a^{3} + b^{3})= ab(a+b)(a^{2}-2ab+b^{2})$

12. $(1-3x)^{2} + 3x-1=0\\1-6x+9x^{2}+3x-1=0\\9x^{2} -3x=0\\3x(3x-1)=0\\1. 3x-1=0; x_1=\frac{1}{3} \\2. 3x=0; x_2=0$