Question

Simplify each expression

Answer 1

Answer:

$5x^4 + 15x^3 - 4x^2 + 7$

Step-by-step explanation:

$(7x^3 + 5x^4 + 3x^2) - (7x^2 - 7 -8x^3)$

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:

$7x^3 + 5x^4 + 3x^2 - 7x^2 + 7 + 8x^3$

now we combine like terms to get our answer

$5x^4$ stays as it is, since there is nothing to combine it with

7x³ + 8x³ = 15x³

3x² - 7x² = -4x²

7 stays the same because like $5x^4$, there is nothing else to combine it with

we have the following new equation:

$5x^4 + 15x^3 - 4x^2 + 7$