Please don't just give me the answer, I need to know how to do this.
Find the Sum or Difference
2x^4 + 8x^4
2 apples + 8 apples = 10 apples
2 starfish + 8 starfish = 10 starfish
2 whatevers + 8 whatevers = 10 whatevers
2x^2 + 8x^2 = .....
just use the distributive property
2*8 + 2*5 = 2*(8+5)
2 dogs + 5 dogs = (2+5) dogs = 7 dogs
2x^4 + 8x^4 = (2+8)x^4 = 10x^4
To find the sum or difference of 2x^4 and 8x^4, you need to combine or subtract the like terms. Like terms are terms that have the same variable raised to the same power. In this case, both terms have x^4, so they are like terms.
To find the sum, you simply add the coefficients of the like terms. In this case, the coefficients of the x^4 terms are 2 and 8. Adding them together, you get 2 + 8 = 10.
Therefore, the sum of 2x^4 and 8x^4 is 10x^4.
Similarly, to find the difference, you subtract the coefficients of the like terms. In this case, the coefficients of the x^4 terms are 2 and 8. Subtracting them, you get 8 - 2 = 6.
Therefore, the difference between 2x^4 and 8x^4 is 6x^4.