Respuesta :

zeinb
Like terms are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. ... We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily. To combine like terms, we add the coefficients and keep the variables the same

Answer:

A)x^2-x-6

B)2x^2-12x+12

C)x^2-4

Step-by-step explanation:

A) Lets break this problem into portions the first part we trying  to distribute is  x(x-3)

X times X is X^2 and X times 3 is 3x so x^2-3x

Lets work on the second part

2(x-3)

2 times x =2x and 2 times -3 = -6 so 2x-6

And since you are supposed to add them its 2x-6+x^2-3x

x^2 can't be combined so that is seperate but 2x(+)-3x (negative overpowers positiveis) so we have -x and then -6 cant be joined with anything so

x^2-x-6

B) I'm going to go a little faster but it's essentially the same

2x(x-4)-3(x-4)

Multiply2x*x= 2x^2

2x*-4=-8x

combinde these two (2x^2-8x)

Pt.2

-3*x= -3x

-3*-4(negative and negative cancels out and it becomes positive)=12

join  (-3x+12)

and then 2x^2-8x-3x+12

you can only combine -8x-3x so -12x

2x^2-12x+12

C) this is level 3

x(x-2) + 2(x-2)

(x^2-2x) +(2x-4)

only like terms is 2x and-2x so combine and its 0

x^2-4