Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36p^2-169\)
2. \(196q^{4}+28q^2s+1s^2\)
3. \(s^2+12s+36\)
4. \(121y^2-196b^{14}\)
5. \(p^2-169\)
6. \(p^2-26p+169\)
7. \(256p^{10}+288p^5y+81y^2\)
8. \(x^2-64\)
9. \(-64b^2+49\)
10. \(y^2-196\)
11. \(1-36a^{10}\)
12. \(25-36a^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36p^2-169=(6p+13)(6p-13)\)
2. \(196q^{4}+28q^2s+1s^2=(14q^2+s)^2\)
3. \(s^2+12s+36=(s+6)^2\)
4. \(121y^2-196b^{14}=(11y-14b^7)(11y+14b^7)\)
5. \(p^2-169=(p+13)(p-13)\)
6. \(p^2-26p+169=(p-13)^2\)
7. \(256p^{10}+288p^5y+81y^2=(16p^5+9y)^2\)
8. \(x^2-64=(x-8)(x+8)\)
9. \(-64b^2+49=(7-8b)(7+8b)\)
10. \(y^2-196=(y-14)(y+14)\)
11. \(1-36a^{10}=(1-6a^5)(1+6a^5)\)
12. \(25-36a^{12}=(5-6a^6)(5+6a^6)\)