Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121b^{4}-4p^2\)
2. \(9q^2-12q+4\)
3. \(p^2+22p+121\)
4. \(9p^{8}+6p^4+1\)
5. \(169y^2-130y+25\)
6. \(-225p^2+16\)
7. \(196a^{4}-169b^2\)
8. \(81a^2+72a+16\)
9. \(a^2-36\)
10. \(x^2-25\)
11. \(225p^{8}+390p^4+169\)
12. \(169x^2-9p^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121b^{4}-4p^2=(11b^2+2p)(11b^2-2p)\)
2. \(9q^2-12q+4=(3q-2)^2\)
3. \(p^2+22p+121=(p+11)^2\)
4. \(9p^{8}+6p^4+1=(3p^4+1)^2\)
5. \(169y^2-130y+25=(13y-5)^2\)
6. \(-225p^2+16=(4-15p)(4+15p)\)
7. \(196a^{4}-169b^2=(14a^2+13b)(14a^2-13b)\)
8. \(81a^2+72a+16=(9a+4)^2\)
9. \(a^2-36=(a+6)(a-6)\)
10. \(x^2-25=(x-5)(x+5)\)
11. \(225p^{8}+390p^4+169=(15p^4+13)^2\)
12. \(169x^2-9p^{6}=(13x-3p^3)(13x+3p^3)\)