Answer:
¹⁶/₉p² - 16pq + 36q²
Step-by-step explanation:
(-1⅓p + 6q)² = (-⁴/₃p + 6q) (-⁴/₃p + 6q)
We can use the FOIL method of multiplying two binomials
First terms: (-⁴/₃p)(-⁴/₃p) = ¹⁶/₉p²
Outer terms: (-⁴/₃p) × 6q = -8pq
Inner terms: 6q × (-⁴/₃p) = -8pq
Last terms: 6q × 6q = + 36q²
Sum = ¹⁶/₉p² - 16pq + 36q²