Question

Which of these is the SAME as 500.3 × 500.7? (Note: You need not calculate)

Answer 1

SOLUTION

TO DETERMINE

The expression which is same as 500.3 × 500.7

FORMULA TO BE IMPLEMENTED

We are aware of the algebraic formula that

$\sf{ {a}^{2} - {b}^{2} = (a + b)(a - b) }$

EVALUATION

Here the given expression is

$\sf{500.3 \times 500.7}$

We simplify it as below

$\sf{500.3 \times 500.7}$

$\sf{ = (500.5 - 0.2) \times (500.5 + 0.2)}$

$\sf{ = (500.5 + 0.2) \times (500.5 - 0.2)}$

$\sf{ = {(500.5)}^{2} - {(0.2)}^{2} }$

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