Answer:
[tex]\frac{16}{9}[/tex]p² -16pq + 36q²
Step-by-step explanation:
Given
(- [tex]\frac{4}{3}[/tex]p + 6q)²
= (- [tex]\frac{4}{3}[/tex]p + 6q)(- [tex]\frac{4}{3}[/tex]p + 6q)
Each term in the second factor is multiplied by each term in the first factor, that is
- [tex]\frac{4}{3}[/tex]p(- [tex]\frac{4}{3}[/tex]p + 6q) + 6q(- [tex]\frac{4}{3}[/tex]p + 6q)
= [tex]\frac{16}{9}[/tex]p² - 8pq - 8pq + 36q² ← collect like terms
= [tex]\frac{16}{9}[/tex]p² - 16pq + 36q²
