Question

1. -5p²(3p³ + 4p)

Explanation:

Step1: Apply distributive property

Multiply \(-5p^2\) with each term inside the parentheses: \(-5p^2 \times 3p^3 + (-5p^2) \times 4p\)

Step2: Multiply coefficients and exponents

For the first term: \(-5\times3 = -15\), \(p^2\times p^3 = p^{2 + 3}=p^5\), so \(-15p^5\). For the second term: \(-5\times4 = -20\), \(p^2\times p = p^{2+1}=p^3\), so \(-20p^3\).

Answer:

\(-15p^5 - 20p^3\)