Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196a^2+28a+1\)
2. \(144p^2-121\)
3. \(a^2+16a+64\)
4. \(p^2-9\)
5. \(9p^2-25\)
6. \(121a^2-225\)
7. \(a^2+28a+196\)
8. \(49p^2-182p+169\)
9. \(p^2-121\)
10. \(49q^2+112q+64\)
11. \(225x^2-169\)
12. \(196p^{10}-81x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196a^2+28a+1=(14a+1)^2\)
2. \(144p^2-121=(12p+11)(12p-11)\)
3. \(a^2+16a+64=(a+8)^2\)
4. \(p^2-9=(p+3)(p-3)\)
5. \(9p^2-25=(3p+5)(3p-5)\)
6. \(121a^2-225=(11a+15)(11a-15)\)
7. \(a^2+28a+196=(a+14)^2\)
8. \(49p^2-182p+169=(7p-13)^2\)
9. \(p^2-121=(p-11)(p+11)\)
10. \(49q^2+112q+64=(7q+8)^2\)
11. \(225x^2-169=(15x+13)(15x-13)\)
12. \(196p^{10}-81x^2=(14p^5+9x)(14p^5-9x)\)