Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-9\)
2. \(144p^2-121\)
3. \(225b^{10}+210b^5+49\)
4. \(225a^2+390a+169\)
5. \(144q^{6}+312q^3y+169y^2\)
6. \(144q^{14}-25\)
7. \(36p^{6}+12p^3q+1q^2\)
8. \(16a^{16}-121y^2\)
9. \(121p^2-176p+64\)
10. \(144q^{8}+24q^4s+1s^2\)
11. \(4q^2-169b^{12}\)
12. \(4b^2+4b+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-9=(p-3)(p+3)\)
2. \(144p^2-121=(12p+11)(12p-11)\)
3. \(225b^{10}+210b^5+49=(15b^5+7)^2\)
4. \(225a^2+390a+169=(15a+13)^2\)
5. \(144q^{6}+312q^3y+169y^2=(12q^3+13y)^2\)
6. \(144q^{14}-25=(12q^7+5)(12q^7-5)\)
7. \(36p^{6}+12p^3q+1q^2=(6p^3+q)^2\)
8. \(16a^{16}-121y^2=(4a^8+11y)(4a^8-11y)\)
9. \(121p^2-176p+64=(11p-8)^2\)
10. \(144q^{8}+24q^4s+1s^2=(12q^4+s)^2\)
11. \(4q^2-169b^{12}=(2q-13b^6)(2q+13b^6)\)
12. \(4b^2+4b+1=(2b+1)^2\)