Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169x^{4}+364x^2+196\)
2. \(s^2-20s+100\)
3. \(16q^{8}-9s^2\)
4. \(q^2-144\)
5. \(y^2-169\)
6. \(x^2-10x+25\)
7. \(s^2-4\)
8. \(49x^2-144q^{16}\)
9. \(196s^2-25\)
10. \(9p^{10}-84p^5s+196s^2\)
11. \(81a^{6}-234a^3q+169q^2\)
12. \(100q^2+260q+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169x^{4}+364x^2+196=(13x^2+14)^2\)
2. \(s^2-20s+100=(s-10)^2\)
3. \(16q^{8}-9s^2=(4q^4+3s)(4q^4-3s)\)
4. \(q^2-144=(q+12)(q-12)\)
5. \(y^2-169=(y-13)(y+13)\)
6. \(x^2-10x+25=(x-5)^2\)
7. \(s^2-4=(s+2)(s-2)\)
8. \(49x^2-144q^{16}=(7x-12q^8)(7x+12q^8)\)
9. \(196s^2-25=(14s+5)(14s-5)\)
10. \(9p^{10}-84p^5s+196s^2=(3p^5-14s)^2\)
11. \(81a^{6}-234a^3q+169q^2=(9a^3-13q)^2\)
12. \(100q^2+260q+169=(10q+13)^2\)