Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-169\)
2. \(1-36p^{12}\)
3. \(x^2-49\)
4. \(y^2-25\)
5. \(q^2+22q+121\)
6. \(256a^{6}-288a^3+81\)
7. \(9x^{6}+66x^3+121\)
8. \(169-256p^{4}\)
9. \(s^2+28s+196\)
10. \(196a^2-364a+169\)
11. \(144s^2-a^{8}\)
12. \(q^2-28q+196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-169=(a-13)(a+13)\)
2. \(1-36p^{12}=(1-6p^6)(1+6p^6)\)
3. \(x^2-49=(x-7)(x+7)\)
4. \(y^2-25=(y-5)(y+5)\)
5. \(q^2+22q+121=(q+11)^2\)
6. \(256a^{6}-288a^3+81=(16a^3-9)^2\)
7. \(9x^{6}+66x^3+121=(3x^3+11)^2\)
8. \(169-256p^{4}=(13-16p^2)(13+16p^2)\)
9. \(s^2+28s+196=(s+14)^2\)
10. \(196a^2-364a+169=(14a-13)^2\)
11. \(144s^2-a^{8}=(12s-a^4)(12s+a^4)\)
12. \(q^2-28q+196=(q-14)^2\)