Question

Subtract and write the resulting polynomial in descending order: (14a^2+4)−(5a^2+9). (14a^(2)+4)−(5a^(2)+9)=14a^(2)+4−5a^(2)−9=9a^(2)−5.

Answer 1

The question asks to subtract the polynomial (5a^2 + 9) from the polynomial (14a^2 + 4).

Let's break it down:

The given polynomials are (14a^2 + 4) and (5a^2 + 9). When we subtract one polynomial from the other, we subtract alike terms, which in this case are 14a^2 - 5a^2 and 4 - 9.

For the a^2 terms:
We subtract 5a^2 from 14a^2 which gives us 9a^2.

For the constant terms:
We subtract 9 from 4 which gives us -5.

Therefore, the resulting polynomial in descending order after subtracting (5a^2 + 9) from (14a^2 + 4) is 9a^2 - 5.