Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2+30a+225\)
2. \(64p^{10}-208p^5+169\)
3. \(169b^2-1\)
4. \(q^2+20q+100\)
5. \(49q^2-42q+9\)
6. \(a^2-22a+121\)
7. \(144x^2-25a^{16}\)
8. \(81x^{4}-49\)
9. \(25p^{10}+60p^5y+36y^2\)
10. \(-4y^2+81\)
11. \(225a^{4}-210a^2b+49b^2\)
12. \(169p^{10}+26p^5s+1s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2+30a+225=(a+15)^2\)
2. \(64p^{10}-208p^5+169=(8p^5-13)^2\)
3. \(169b^2-1=(13b+1)(13b-1)\)
4. \(q^2+20q+100=(q+10)^2\)
5. \(49q^2-42q+9=(7q-3)^2\)
6. \(a^2-22a+121=(a-11)^2\)
7. \(144x^2-25a^{16}=(12x-5a^8)(12x+5a^8)\)
8. \(81x^{4}-49=(9x^2+7)(9x^2-7)\)
9. \(25p^{10}+60p^5y+36y^2=(5p^5+6y)^2\)
10. \(-4y^2+81=(9-2y)(9+2y)\)
11. \(225a^{4}-210a^2b+49b^2=(15a^2-7b)^2\)
12. \(169p^{10}+26p^5s+1s^2=(13p^5+s)^2\)