Final answer:
To subtract the given polynomials, subtract the coefficients of each like term. The subtracted polynomial in standard form is -7d^2 - 9df^3 - 256f^3.
Step-by-step explanation:
To subtract the given polynomials (-7d^2 – 5df^3 – 3f^3) - (8d+ 4df^3 +253), we need to subtract the coefficients of each like term.
First, let's subtract the coefficients of the d^2 terms:
-7d^2 - 0d^2 = -7d^2
Next, subtract the coefficients of the df^3 terms:
-5df^3 - 4df^3 = -9df^3
The coefficients of the constant terms are:
-3f^3 - 253 = -256f^3
Combining these results, the subtracted polynomial in standard form is -7d^2 - 9df^3 - 256f^3.