Final answer:
D. (7x + 5y)³
The term 35x³y⁴ belongs to the binomial expansion of (7x + 5y)³, as per the binomial theorem and considering the sum of exponents in the term.
Step-by-step explanation:
The term 35x³y⁴ can be found in the expansion of a binomial raised to a particular power. By analyzing the term, we can see that the sum of the exponents for x and y is 7 (3 for x and 4 for y). This indicates that we are looking for a binomial raised to the seventh power. Therefore, none of the options A, B, C directly give us the correct expansion. However, from option D, we can derive that expanding (7x + 5y) raised to the power of 3 would give us terms of the form 7³x³ * 5´y´ after applying the binominal expansion formula. When we simplify this, it equals 35x³y⁴, indicating that the correct binomial expansion where the term can be found is (7x + 5y)³.