Question

76*84 = (...-...)(...+...)

Answer 1

$76\cdot84 = (80-4)(80+4)$

Answer 2

To express the product 76 * 84 as the difference of two squares, we can use the following approach:

Step 1: Find the average of the two numbers (76 and 84). Step 2: Find the difference between the two numbers (84 - 76). Step 3: Use the average and the difference to construct the difference of two squares expression.

Let's calculate it step by step:

Step 1: Average of 76 and 84 Average = (76 + 84) / 2 = 160 / 2 = 80

Step 2: Difference between 76 and 84 Difference = 84 - 76 = 8

Step 3: Difference of two squares expression 76 * 84 = (80 - 4)(80 + 4)

So, 76 * 84 = 76 * 84 = (80 - 4)(80 + 4)