Question

Math simplify (7a+5b-2c) + (5a+7b) + (2a-7c) + (2a-5b+3c) algebra

Answer 1

`-10a^2+25ab-15ac+12a+12b-2c`

Explanation:

`(7a+5b-2c)+(5a+7b)+(2a-7c)+(2a-5b+3c)`

Distribute:

`=7a+5b-2c+5a+7b+(2a)(2a)+(2a)(-5)+(2a)(3c)+(-7a)(2a)+(-7a)(-5b)+(-7a)(3c)`

`=7a+5b-2c+5a+7b+4a^2-10ab+6ac-10a^2+35ab-21ac`

Combine all like terms:

`=(4a^2-14a^2)+(-10ab+35ab)+(6ac-21ac)+(7a+5a)+(5b+7b)+(-2c)`

`=-10a^2+25ab-15ac+12a+12b-2c`