Question

Write the square of the binomial as a polynomial:
(−1 1/3 p+6q)^2

Answer 1

¹⁶/₉p² - 16pq + 36q²

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