Question

Find the product. $$(7 x-11)^{2}$$

Short answer

The product is \(49x^{2} - 154x + 121\)}

Step-by-step solution

Identify the Components of the Binomial

The binomial in this case is \((7x - 11)\). Here, \(a = 7x\) and \(b = 11\)

Apply the Square of a Binomial Formula

The formula to expand the square of a binomial is \((a - b)^2 = a^2 - 2ab + b^2\). When applying this formula to \((7x - 11)^2\), \(a = 7x\) and \(b = 11\).

Calculate the Squares and the Product of 7x and 11

Begin by calculating the square of each term and the product of 2ab. This results in \((7x)^2 - 2*7x*11 + 11^2\).

Simplify the Expression

Simplify each operation in the expression, which gives: \(49x^{2} - 154x + 121\).