Problem 49 - College Algebra Essentials

Question

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

Step-by-Step Solution

Answer

The simplified expression is \(4x^{2} - 28x + 49 \).

Step 1: Identify the terms which are being squared

Here \(a = 7\) and \(b = 2x\).

Step 2: Apply the identity \((a - b)^{2}\)

Applying the identity, the expression can be expressed as: \( (7 - 2x)^{2} = 7^{2} - 2*7*2x + (2x)^{2}\).

Step 3: Evaluation

Simplifying the above expression: \(49 - 28x + 4x^{2}\)