Question

Evaluate the following by writing it as a difference of two squares first: 105^2 − 95^2

Answer 1

Answer:

(100+5)^2 — (100–5)^2

(a+b)^2 and (a-b)^2 identities used

100^2 + 2(100)(5) + 5^2 — 100^2 – 2(100)(5) + 5^2

10000 + 1000 + 25 – 10000 –1000 + 25

→→ 50 ( answer )

Step-by-step explanation:

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Answer 2

Answer:

2000

Step-by-step explanation:

The question can be written as:

(100+5)^2 - (100-5)^2

=10000+25+2*5*100 - (10000+25-2*5*100)

=2*(2*5*100)

=2000

formulas used:

(a+b)^2 = a^2 + 2ab + b^2

(a-b)^2 = a^2 - 2ab + b^2