Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+10s+25\)
2. \(100a^{4}-9y^2\)
3. \(81b^2+234b+169\)
4. \(p^2-169\)
5. \(100p^{4}-60p^2+9\)
6. \(a^2-64\)
7. \(p^2-16p+64\)
8. \(144a^{8}+24a^4+1\)
9. \(-64p^2+1\)
10. \(81-196y^{6}\)
11. \(121s^2-144a^{16}\)
12. \(196b^{10}+252b^5+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+10s+25=(s+5)^2\)
2. \(100a^{4}-9y^2=(10a^2+3y)(10a^2-3y)\)
3. \(81b^2+234b+169=(9b+13)^2\)
4. \(p^2-169=(p-13)(p+13)\)
5. \(100p^{4}-60p^2+9=(10p^2-3)^2\)
6. \(a^2-64=(a-8)(a+8)\)
7. \(p^2-16p+64=(p-8)^2\)
8. \(144a^{8}+24a^4+1=(12a^4+1)^2\)
9. \(-64p^2+1=(1-8p)(1+8p)\)
10. \(81-196y^{6}=(9-14y^3)(9+14y^3)\)
11. \(121s^2-144a^{16}=(11s-12a^8)(11s+12a^8)\)
12. \(196b^{10}+252b^5+81=(14b^5+9)^2\)