Final answer:
To factor the expression (q²rs²t)(q⁴r²-6q²rs²t s⁴t²), we can apply the distributive property and then factor out the common factors from each term.
Step-by-step explanation:
To factor the expression (q²rs²t)(q⁴r²-6q²rs²t s⁴t²), we can first apply the distributive property. This gives us q²r s²t(q⁴r²) - q²r s²t(6q² rs²t s⁴t²). Then, we can factor out the common factors from each term. For the first term, we can factor out q²r s²t, leaving us with q⁴r². For the second term, we can factor out q²r s²t s⁴t², leaving us with -6q². Therefore, the factored expression is q²r s²t(q⁴r² - 6q² s⁴t²).