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Arvutamise abivalemite kasutamine - Allar Veelmaa õppematerjalid

Arvutamise abivalemite kasutamine - Allar Veelmaa õppematerjalid

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abivalemid.notebook<br />

May 21, 2010<br />

<strong>Arvutamise</strong> <strong>abivalemite</strong><br />

<strong>kasutamine</strong><br />

1) <strong>Arvutamise</strong> abivalemid<br />

2) Testid <strong>abivalemite</strong> kohta<br />

3) Avaldise lihtsustamine ja väärtuse arvutamine <strong>abivalemite</strong> abil<br />

Koostas: <strong>Allar</strong> <strong>Veelmaa</strong>, Loo Keskkool, aprill 2010<br />

Attribution-Noncommercial-Share Alike 3.0<br />

Nov 4­10:28 AM<br />

<strong>Arvutamise</strong> abivalemid<br />

(a + b) 2 = a 2 + 2ab + b 2<br />

(a – b) 2 = a 2 – 2ab + b 2<br />

a 2 – b 2 = (a + b)(a – b)<br />

a 3 + b 3 = (a + b)(a 2 – ab + b 2 )<br />

a 3 – b 3 = (a – b)(a 2 + ab + b 2 )<br />

mai 21­18:14<br />

mai 21­18:14<br />

<strong>Allar</strong> <strong>Veelmaa</strong> 2010 1


abivalemid.notebook<br />

May 21, 2010<br />

mai 21­18:18<br />

mai 21­18:26<br />

mai 21­18:33<br />

<strong>Allar</strong> <strong>Veelmaa</strong> 2010 2


abivalemid.notebook<br />

May 21, 2010<br />

Avaldise lihtsustamine<br />

(2a + 1) 2 + (2a – 1) 2 =<br />

mai 21­19:11<br />

Avaldise lihtsustamine<br />

(2a + 1) 2 – (2a – 1) 2 =<br />

mai 21­19:14<br />

Avaldise lihtsustamine<br />

(2a + b) 2 + (2a – b)(2a + b) =<br />

mai 21­19:39<br />

<strong>Allar</strong> <strong>Veelmaa</strong> 2010 3


abivalemid.notebook<br />

May 21, 2010<br />

Lihtsusta avaldis<br />

(2a – 3b) 2 – 2(a –2b) 2 =<br />

mai 21­19:41<br />

Lihtsusta avaldis ja arvuta selle täpne väärtus,<br />

kui x = –0,5 ja y = 2.<br />

(­2x + 3y) 2 – (2x – 3y)(3x + 2y) =<br />

mai 21­19:41<br />

<strong>Allar</strong> <strong>Veelmaa</strong> 2010 4

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