BITTE SCHNELL! Was ist die Lösung von 97^2 wenn man es vorher aber in die bionomische Formel umrechnen muss?

Was ist das Ergebnis von 97^2 aber vorher in bionomischer Formel umgewandelt? Ist wichtig!! Danke!!

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SweetChantal
1 year ago

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

For a = 90 and b = 7:

(90 + 7)^2 = 90^2 + 2 * 90 * 7 + 7^2

= 8100 + 2 * 90 * 7 + 49

= 8100 + 1260 + 49

= 9410 + 49

= 9459

Waldi2007
1 year ago
Reply to  SweetChantal

It’s wrong. The solution is: 9409

tunik123
1 year ago
Reply to  Waldi2007

Yes, because 8100 + 1260 is not 9410.

Waldi2007
1 year ago

Second Binomic Formula:
97^2 = (100-3) * (100-3) = 100*100*100*3 + 3*3
= 10000 – 600 + 9 = 9409

or

First Binomic Formula:
97^2 = (90+7) * (90+7) = 90*90 + 2*90*7 + 7*7
= 8100 + 1260 + 49 = 9409

ThomasJNewton
1 year ago

You are looking for the right formula for feeling, handy and small numbers you should prefer. Here are 100 and 3.

1002 = 2*100*3 + 32 = 10000 – 600 + 9 = 9400 + 9 = 9409