Help me solve this? in a simple way.
(3x^4 + 9x^3 – 7x + 15) + (–6x^4 – 8x^2 + 5x – 3).

Question

Help me solve this? in a simple way. 
(3x^4 + 9x^3 – 7x + 15) + (–6x^4 – 8x^2 + 5x – 3).

shaleiah · Answer

@4everaddicted2anime

shaleiah · Answer

@welshfella

4everaddicted2anime · Answer

To be honest, I have never done a problem like this with powers of 4.

welshfella · Answer

add like terms
to make it a little easier  first bring like terms together

welshfella · Answer

dont worry about the parentheses  as thers a + outside of each. one

welshfella · Answer

so i'll start you off
3x^4 - 6x^4 ...

now bring other like terms together starting with 9x^3

shaleiah · Answer

9X^3+-7x+5x

mathstudent55 · Answer

Start with your problem:

$(3x^4 + 9x^3 – 7x + 15) + (–6x^4 - 8x^2 + 5x – 3)$

Since you are adding polynomials, just drop the parentheses. The plus sign to the left of the second set of parentheses does not change anything inside the parentheses. That is why you can just drop the parentheses.

$= 3x^4 + 9x^3 – 7x + 15 + (–6x^4) - 8x^2 + 5x – 3$

Now using the commutative and associative properties of addition, rearrange the terms, so that all terms with the same degree are next to each other.

$= 3x^4 + (-6x^4) + 9x^3 -8x^2 - 7x + 5x + 15  – 3$

Now combine like terms. Like terms are terms that have the same variable part.