Question

Find the product using suitable identities. a) B2%7D" id="TexFormula1" title="(\frac{x}{3} - 6)^{2}" alt="(\frac{x}{3} - 6)^{2}" align="absmiddle" class="latex-formula"> step by step

Answer 1

Answer:

$\frac{x^2}{9}$ - 4x + 36

Step-by-step explanation:

($\frac{x}{3}$ - 6)² = ($\frac{x}{3}$ - 6)($\frac{x}{3}$ - 6)

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

$\frac{x}{3}$($\frac{x}{3}$ - 6) - 6($\frac{x}{3}$ - 6)

Distribute both parenthesis

= $\frac{x^2}{9}$ - 2x - 2x + 36 ← collect like terms

= $\frac{x^2}{9}$ - 4x + 36