Question

Using Suitable identities, evaluate the following

1. 995²
2 (729) - (271)²​

Answer 1

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Answer 2

Answer:

1. 990025  2. - 72712

Step-by-step explanation:

1.

$995^{2} = (1000 - 5)^{2} = 1000^{2} - 2X1000X5 + 5^{2} \\ by using (a-b)^{2} = a^{2} - 2ab + b^{2} \\ = 1000000 - 10000+25 = 990025$

2.

$(729) - (271)^{2} = (27)^{2} - (271)^{2} \\by using [a^{2} - b^{2} = (a+b) X (a - b)]\\= [27+271] X [27 - 271]\\= 298 X (-244) = - 72712$

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