Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-121\)
2. \(81y^2-16p^{4}\)
3. \(16x^2-169\)
4. \(16q^{8}-9s^2\)
5. \(s^2-12s+36\)
6. \(121b^2+286b+169\)
7. \(100q^{14}-9\)
8. \(144s^{10}+120s^5y+25y^2\)
9. \(y^2+12y+36\)
10. \(196a^{16}-121\)
11. \(y^2-9\)
12. \(256a^{4}-288a^2y+81y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-121=(a-11)(a+11)\)
2. \(81y^2-16p^{4}=(9y-4p^2)(9y+4p^2)\)
3. \(16x^2-169=(4x+13)(4x-13)\)
4. \(16q^{8}-9s^2=(4q^4+3s)(4q^4-3s)\)
5. \(s^2-12s+36=(s-6)^2\)
6. \(121b^2+286b+169=(11b+13)^2\)
7. \(100q^{14}-9=(10q^7+3)(10q^7-3)\)
8. \(144s^{10}+120s^5y+25y^2=(12s^5+5y)^2\)
9. \(y^2+12y+36=(y+6)^2\)
10. \(196a^{16}-121=(14a^8+11)(14a^8-11)\)
11. \(y^2-9=(y+3)(y-3)\)
12. \(256a^{4}-288a^2y+81y^2=(16a^2-9y)^2\)