Simplify the difference. (-7x - 5x⁴ + 5) - (-7x⁴ - 5 - 9x)

Solution:

(-7x  - 5x⁴ + 5) - (-7x⁴ - 5 - 9x)

Taking off the brackets and grouping the like terms, we subtract the given polynomials.

= -7x - 5x⁴ + 5 + 7x⁴ + 5 + 9x

=  (7x⁴ - 5x⁴ ) +  (9x - 7x) + (5 + 5)

=  2x⁴ + 2x + 10

Another example could be: Simplify the difference (7x⁶ -  9x⁵ +  8x⁴ - 3x³  + 12x² - 3x) - (4x⁶ + 7x⁵ +  4x⁴  - x³ + 10x² - 25)

(7x⁶ - 4x⁶) + (-9x⁵ - 7x⁵) + (8x⁴ - 4x⁴) +(-3x³ - (-x³)) + (12x² - 10x²) -3x - (-25) 

= 3x⁶ - 2x⁵ + 4x⁴  -2x³ + 2x² - 3x + 25

Simplify the difference. (-7x - 5x⁴ + 5) - (-7x⁴ - 5 - 9x)

Summary:

Simplifying  the difference. (-7x - 5x⁴ + 5) - (-7x⁴ - 5 - 9x) we get 2x⁴ + 2x + 10