Answer: 3x⁴ + x + 7
<u>Step-by-step explanation:</u>
(5x⁴ - 3x² + 7x - 10) - (2x⁴ - 3x³ + 6x - 17)
Distribute the negative to the second expression, which means "change all of the signs" and then add the two expressions.
( 5x⁴ - 3x² + 7x - 10)
+ <u>(-2x⁴ + 3x³ - 6x + 17)</u>
= 3x⁴ + 0x³ + 1x + 7
= 3x⁴ + x + 7
Note: If you need to show work for distributing the negative sign, multiply each term of the second expression by -1.