Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-169\)
2. \(100q^2+60q+9\)
3. \(4q^{6}+52q^3+169\)
4. \(a^2-121\)
5. \(36q^{6}+132q^3+121\)
6. \(16p^2-9\)
7. \(25x^2-4\)
8. \(64a^{12}-169\)
9. \(b^2-1\)
10. \(s^2+4s+4\)
11. \(b^{12}-9s^2\)
12. \(a^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-169=(q-13)(q+13)\)
2. \(100q^2+60q+9=(10q+3)^2\)
3. \(4q^{6}+52q^3+169=(2q^3+13)^2\)
4. \(a^2-121=(a-11)(a+11)\)
5. \(36q^{6}+132q^3+121=(6q^3+11)^2\)
6. \(16p^2-9=(4p+3)(4p-3)\)
7. \(25x^2-4=(5x+2)(5x-2)\)
8. \(64a^{12}-169=(8a^6+13)(8a^6-13)\)
9. \(b^2-1=(b+1)(b-1)\)
10. \(s^2+4s+4=(s+2)^2\)
11. \(b^{12}-9s^2=(b^6+3s)(b^6-3s)\)
12. \(a^2-144=(a-12)(a+12)\)