Question

Simplify the following using the identities:  1.73 × 1.73 − 0.27 × 0.27

Answer 1

Let us consider the following expression: \[1 . 73 \times 1 . 73 - 0 . 27 \times 0 . 27\]

Using the identity \[\left( a + b \right)\left( a - b \right) = a^2 - b^2\],we get:

\[1 . 73 \times 1 . 73 - 0 . 27 \times 0 . 27 = 1 . {73}^2 - 0 . {27}^2 = \left( 1 . 73 + 0 . 27 \right)\left( 1 . 73 - 0 . 27 \right) = 2 \times 1 . 46 = 2 . 92\]

Thus, the answer is 2.92.