Polynomials?

Question

I need to learn this can someone do this problem and explain it to me

(3g3-5g)-(2g3+5g2-3g+1)

I dont know how to type exponents
so the nubers next to the letter is the exponent

Answer 1

ok so first u have to apply the negative to all the numbers in the second set of parenthesis.

so it would become -2g3 -5g2 +3g -1

so now that u have that established u can take out all the brackets and rite the whole thing out :

3g3 - 5g -2g3 -5g2 +3g -1

ok so the first thing to know is that exponents can only be subtracted with the same exponents. for example 3g3 can only be subtracted from 2g3 because they have the same exponents. but it cant be subtracted with 3g because its exponent its technically 1 even tho its not written. so now that you kno that do all the subtraction and addition and u get:

g3 -5g2 -2g -1
(take notice that i put the numbers in standard order. where the exponents go from largest to smallest)

ok so theres your answer.

Answer 2

(3g3-5g)-(2g3+5g2-3g+1)

You can type exponents with Shift +6 to get this ^.

(3g^3 - 5g) - (2g^3 + 5g^2 - 3g + 1)

Okay.

You can take the parenthesis away IF AND ONLY IF you distribute the middle negative sign to the second set.

3g^3 - 5g - 2g^3 - 5g^2 + 3g - 1

Now you can rearrange in order of descending exponents.

3g^3 - 2g^3 - 5g^2 - 5g + 3g - 1

now, you can combine like terms.

g^3 - 5g^2 - 2g - 1

If you need a more detailed explanation, feel free to IM me.

Answer 3

(3g^3-5g)-(2g^3+5g^2-3g+1)
3g^3-5g-2g^3-5g^2+3g-1

g^3-5g^2-2g-1

Do not forget when you have a minus sign that precedes numbers in parenthesis all the signs change within the parenthesis

Answer 4

i think it is g3-5g2+8g-1

Answer 5

Sure! What's the problem? LOL