Question

(5с-3)(с+2)+(с-4)(2-5с)

Answer 1

Ответ:

(5c-3)(c+2) = 5c^2+10c-3c-6

(c-4)(2-5c) = 2c-5c^2-8+20c

5c^2+10c-3c-6+2c-5c^2-8+20c = 29c - 14

Answer 2

Ответ:

29c-14

Объяснение:

(5с-3)(с+2)+(с-4)(2-5с)=5c*c+10c-3c-6+2c-5c^2-8+20c=29c-14

Answer 3

To simplify the expression (5с-3)(с+2)+(с-4)(2-5с), you can use the distributive property to expand both parts of the expression and then combine like terms:

(5с-3)(с+2) + (с-4)(2-5с)

First, let's expand each part:

1. Expand the first part: (5с-3)(с+2) = 5с(с) + 5с(2) - 3(с) - 3(2) = 5с^2 + 10с - 3с - 6

2. Expand the second part: (с-4)(2-5с) = с(2) + с(-5с) - 4(2) - 4(-5с) = 2с - 5с^2 - 8 + 20с

Now, combine like terms by adding and subtracting terms with the same variable exponent:

(5с^2 + 10с - 3с - 6) + (2с - 5с^2 - 8 + 20с)

Now, group like terms together:

(5с^2 - 5с^2) + (10с - 3с + 2с + 20с) + (-6 - 8)

Notice that the terms with the same variable exponent cancel out:

0с^2 + 29с - 14

So, the simplified expression is:

29с - 14