Question

factorise 105 X 105 using identity​

Answer 1

105 X 105 = 11025.....

..............

Answer 2

The factors are (100 + 5)².

Step-by-step explanation:

The product of (a + b)² is:

(a + b)² = (a)² + (2 × a × b) + (b)²

The expression is:

105 × 105

Factorize as follows using the identity (a + b)²:

105 × 105 = (100 + 5) × (100 + 5)

                = (100 + 5)²

                = (100)² + (2 × 100 × 5) + (5)²

                = 10000 + 1000 + 25

                = 11025

Thus, the factors are (100 + 5)².

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