Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2+22a+121\)
2. \(p^2-81\)
3. \(169s^2+260s+100\)
4. \(p^2-25\)
5. \(b^2+30b+225\)
6. \(196s^{6}+28s^3x+1x^2\)
7. \(4y^2+4y+1\)
8. \(169q^{4}+52q^2+4\)
9. \(s^2+14s+49\)
10. \(81p^2+126p+49\)
11. \(4p^{6}-25\)
12. \(s^2-6s+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2+22a+121=(a+11)^2\)
2. \(p^2-81=(p-9)(p+9)\)
3. \(169s^2+260s+100=(13s+10)^2\)
4. \(p^2-25=(p-5)(p+5)\)
5. \(b^2+30b+225=(b+15)^2\)
6. \(196s^{6}+28s^3x+1x^2=(14s^3+x)^2\)
7. \(4y^2+4y+1=(2y+1)^2\)
8. \(169q^{4}+52q^2+4=(13q^2+2)^2\)
9. \(s^2+14s+49=(s+7)^2\)
10. \(81p^2+126p+49=(9p+7)^2\)
11. \(4p^{6}-25=(2p^3+5)(2p^3-5)\)
12. \(s^2-6s+9=(s-3)^2\)