Question

using some algebraic identity , evaluate the following a.73*73-27*27​

Answer 1

Answer:

4600

Step-by-step explanation:

$73 \times 73 - 27 \times 27 \\ = (70 + 3)(70 + 3) - (20 + 7)(20 + 7) \\ = (70 + 3) ^{2} - (20 + 7) ^{2} \\ = (70 + 3 + 20 + 7) (70 + 3 - 20 - 7) \\ = (90 + 10)(50 - 4) \\ = 100 \times 46 \\ = 4600$