Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-22p+121\)
2. \(225q^2-169\)
3. \(64x^{8}+176x^4+121\)
4. \(q^2-2q+1\)
5. \(144x^2-49\)
6. \(81-169s^{12}\)
7. \(49-144x^{12}\)
8. \(p^2-20p+100\)
9. \(4y^{6}-169\)
10. \(4q^2-25\)
11. \(1-9a^{12}\)
12. \(-225y^2+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-22p+121=(p-11)^2\)
2. \(225q^2-169=(15q+13)(15q-13)\)
3. \(64x^{8}+176x^4+121=(8x^4+11)^2\)
4. \(q^2-2q+1=(q-1)^2\)
5. \(144x^2-49=(12x+7)(12x-7)\)
6. \(81-169s^{12}=(9-13s^6)(9+13s^6)\)
7. \(49-144x^{12}=(7-12x^6)(7+12x^6)\)
8. \(p^2-20p+100=(p-10)^2\)
9. \(4y^{6}-169=(2y^3+13)(2y^3-13)\)
10. \(4q^2-25=(2q+5)(2q-5)\)
11. \(1-9a^{12}=(1-3a^6)(1+3a^6)\)
12. \(-225y^2+16=(4-15y)(4+15y)\)