Question

use the idnetity
$(x + a)(x + b) = x {}^{2} + (a + b) \\ x + ab \: to \: find \: the \: sum \\(1) \: 501 \times 502$
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Answer 1

Answer:

$501 \times 502 = (500 + 1) \times (500 + 2) \\ = 500 {}^{2} + (1 + 2) \times 500 + 1 \times 2 \\ = 250000 + 1500 + 2 = 251502$

$...answer = > 251502$

Answer 2

Step-by-step explanation:

Heya Mate

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$501 \times 502 \\ \\ = (500 + 1)(500 + 2) \\ \\ put \: \: x = 500 \\ a = 1 \\ b = 2 \\ \\ (x + a)(x + b) = {x}^{2} + (a + b)x +ab \\ \\ = {500}^{2} + (1 + 2)500 + (1)(2) \\ \\ = 25000 + 1500 + 2 \\ \\ = 26502$

HOPE IT HELPED