Using the Identity of Binomial to Solve 106 × 93

To find the product of 106 and 93 using the identity of binomials, we can follow the steps below:

Step 1: Express the numbers as binomials
We can express 106 as (100 + 6) and 93 as (90 + 3).

Step 2: Apply the binomial identity
The binomial identity states that (a + b)(c + d) = ac + ad + bc + bd.

Using this identity, we can multiply the binomials (100 + 6) and (90 + 3) as follows:

(100 + 6)(90 + 3) = 100 × 90 + 100 × 3 + 6 × 90 + 6 × 3

Step 3: Perform the multiplication
Now, let's calculate each term separately:

100 × 90 = 9000
100 × 3 = 300
6 × 90 = 540
6 × 3 = 18

Step 4: Add up the terms
Adding up all the terms we calculated in the previous step, we get:

9000 + 300 + 540 + 18 = 8868

Therefore, the product of 106 and 93 is 8868.

Summary:
To find the product of 106 and 93 using the identity of binomials, we expressed the numbers as binomials (100 + 6) and (90 + 3). Then, we applied the binomial identity, which states that (a + b)(c + d) = ac + ad + bc + bd. Multiplying the terms, we obtained 9000 + 300 + 540 + 18, which equals 8868.

100+6×100-7 10000-700+600-42 10000-100-42 10000-142 9858