Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16x^2-225p^{10}\)
2. \(16p^{12}-25\)
3. \(y^2+4y+4\)
4. \(q^2-225\)
5. \(p^2-6p+9\)
6. \(169p^{10}-100x^2\)
7. \(225a^{4}-60a^2b+4b^2\)
8. \(144p^{6}+312p^3+169\)
9. \(81b^{12}-49y^2\)
10. \(25x^2-121\)
11. \(36y^2+132y+121\)
12. \(y^2-24y+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16x^2-225p^{10}=(4x-15p^5)(4x+15p^5)\)
2. \(16p^{12}-25=(4p^6+5)(4p^6-5)\)
3. \(y^2+4y+4=(y+2)^2\)
4. \(q^2-225=(q-15)(q+15)\)
5. \(p^2-6p+9=(p-3)^2\)
6. \(169p^{10}-100x^2=(13p^5+10x)(13p^5-10x)\)
7. \(225a^{4}-60a^2b+4b^2=(15a^2-2b)^2\)
8. \(144p^{6}+312p^3+169=(12p^3+13)^2\)
9. \(81b^{12}-49y^2=(9b^6+7y)(9b^6-7y)\)
10. \(25x^2-121=(5x+11)(5x-11)\)
11. \(36y^2+132y+121=(6y+11)^2\)
12. \(y^2-24y+144=(y-12)^2\)