Use the Distributive Property to multiply the polynomials −5t3(6t7−9t) .(1 point)

Answer 1

To use the Distributive Property to multiply the polynomial \(-5t^3\) by \((6t^7 - 9t)\), you distribute \(-5t^3\) to each term inside the parentheses.

1. Multiply \(-5t^3\) by \(6t^7\): \[ -5t^3 \cdot 6t^7 = -30t^{10} \]

2. Multiply \(-5t^3\) by \(-9t\): \[ -5t^3 \cdot -9t = 45t^{4} \]

Now, combine both results: \[ -30t^{10} + 45t^4 \]

So, the final result of multiplying the polynomials \(−5t^3(6t^7−9t)\) is: \[ \boxed{-30t^{10} + 45t^4} \]