Question

evaluate : {(505)^2- (495)^2}.​

Answer 1

Answer:

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Step-by-step explanation:

$so \: here \: (505) {}^{2} - (495) {}^{2} \\ so \: it \: is \: in \: form \: a {}^{2} - b {}^{2} \\ we \: know \: that \: then \\ a {}^{2} - b {}^{2} = (a + b)(a - b)$

$hence \: then \\ 505 {}^{2} - 495 {}^{2} = (505 + 495)(505 - 495) \\ = 1000 \times 10 \\ = 10000 \\ hence \: 505 {}^{2} - 495 {}^{2} = 10000$

Answer 2

Answer:

10000

Step-by-step explanation:

505x^{2}  -495x^{2}

 (Calculate 505 to the power of 2 and get 255025. 255025−495 2)

 (Calculate 495 to the power of 2 and get 245025.)

255025−245025

Subtract 245025 from 255025 to get 10000.