Question

Evaluate (1005)*2-995×994 using a^2-b^2=(a+b)(a-b)

Answer 1

${1005}^{2} - (994 + 1) \times 994 \\ = {1005}^{2} - {944}^{2} + 944 \\ = (1005 - 944)(1005 + 944) + 944 \\ = 61 \times 1949 + 944 \\ = 118889 + 1949 \\ = 119833$

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Answer 2

Answer:

20995

Step-by-step explanation:

• 1005²- 995×994 =
• 1005²-995×994-995+995=
• 1005² -995² +995=
• (1005+995)×(1005-995)+995=
• 2000×10+995=
• 20000+995=20995

Answer: 20995