Question

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

Answer 1

Answer:

$\frac{16}{9}$p² -16pq + 36q²

Step-by-step explanation:

Given

(- $\frac{4}{3}$p + 6q)²

= (- $\frac{4}{3}$p + 6q)(- $\frac{4}{3}$p + 6q)

Each term in the second factor is multiplied by each term in the first factor, that is

- $\frac{4}{3}$p(- $\frac{4}{3}$p + 6q) + 6q(- $\frac{4}{3}$p + 6q)

= $\frac{16}{9}$p² - 8pq - 8pq + 36q² ← collect like terms

= $\frac{16}{9}$p² - 16pq + 36q²