Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256q^{4}+480q^2+225\)
2. \(144a^{4}+312a^2+169\)
3. \(100q^2+20q+1\)
4. \(144b^{8}+120b^4s+25s^2\)
5. \(196a^{4}+364a^2+169\)
6. \(x^2+26x+169\)
7. \(x^2-100\)
8. \(100y^2-49\)
9. \(100p^{4}-121s^2\)
10. \(9s^2-4q^{4}\)
11. \(256q^2+288q+81\)
12. \(169y^2-9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256q^{4}+480q^2+225=(16q^2+15)^2\)
2. \(144a^{4}+312a^2+169=(12a^2+13)^2\)
3. \(100q^2+20q+1=(10q+1)^2\)
4. \(144b^{8}+120b^4s+25s^2=(12b^4+5s)^2\)
5. \(196a^{4}+364a^2+169=(14a^2+13)^2\)
6. \(x^2+26x+169=(x+13)^2\)
7. \(x^2-100=(x+10)(x-10)\)
8. \(100y^2-49=(10y+7)(10y-7)\)
9. \(100p^{4}-121s^2=(10p^2+11s)(10p^2-11s)\)
10. \(9s^2-4q^{4}=(3s-2q^2)(3s+2q^2)\)
11. \(256q^2+288q+81=(16q+9)^2\)
12. \(169y^2-9=(13y+3)(13y-3)\)