Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2+24q+144\)
2. \(x^2-169\)
3. \(x^2-6x+9\)
4. \(121q^{6}+330q^3+225\)
5. \(q^2-100\)
6. \(169q^2-121\)
7. \(p^2-49\)
8. \(49a^{10}+126a^5b+81b^2\)
9. \(25p^{10}+140p^5q+196q^2\)
10. \(225a^{8}-60a^4p+4p^2\)
11. \(64-9b^{12}\)
12. \(169y^{8}+52y^4+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2+24q+144=(q+12)^2\)
2. \(x^2-169=(x+13)(x-13)\)
3. \(x^2-6x+9=(x-3)^2\)
4. \(121q^{6}+330q^3+225=(11q^3+15)^2\)
5. \(q^2-100=(q-10)(q+10)\)
6. \(169q^2-121=(13q+11)(13q-11)\)
7. \(p^2-49=(p-7)(p+7)\)
8. \(49a^{10}+126a^5b+81b^2=(7a^5+9b)^2\)
9. \(25p^{10}+140p^5q+196q^2=(5p^5+14q)^2\)
10. \(225a^{8}-60a^4p+4p^2=(15a^4-2p)^2\)
11. \(64-9b^{12}=(8-3b^6)(8+3b^6)\)
12. \(169y^{8}+52y^4+4=(13y^4+2)^2\)