Answer:
[tex]5x^4 + 15x^3 - 4x^2 + 7[/tex]
Step-by-step explanation:
[tex](7x^3 + 5x^4 + 3x^2) - (7x^2 - 7 -8x^3)[/tex]
what we need to do is distribute the - sign in the middle of the parentheses into (7x^2 - 7 -8x^3)[/tex], this is very important to ensure we have the correct answer. by distributing we get the following equation:
[tex]7x^3 + 5x^4 + 3x^2 - 7x^2 + 7 + 8x^3[/tex]
now we combine like terms to get our answer
[tex]5x^4[/tex] stays as it is, since there is nothing to combine it with
7x³ + 8x³ = 15x³
3x² - 7x² = -4x²
7 stays the same because like [tex]5x^4[/tex], there is nothing else to combine it with
we have the following new equation:
[tex]5x^4 + 15x^3 - 4x^2 + 7[/tex]
