Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49b^{6}+14b^3p+1p^2\)
2. \(-225y^2+196\)
3. \(169x^2-52x+4\)
4. \(144s^2-121\)
5. \(4q^2-121p^{6}\)
6. \(64p^{16}-9q^2\)
7. \(p^2-225\)
8. \(16p^{8}-88p^4+121\)
9. \(100y^2+20y+1\)
10. \(-121y^2+64\)
11. \(64-169b^{12}\)
12. \(256y^{6}-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49b^{6}+14b^3p+1p^2=(7b^3+p)^2\)
2. \(-225y^2+196=(14-15y)(14+15y)\)
3. \(169x^2-52x+4=(13x-2)^2\)
4. \(144s^2-121=(12s+11)(12s-11)\)
5. \(4q^2-121p^{6}=(2q-11p^3)(2q+11p^3)\)
6. \(64p^{16}-9q^2=(8p^8+3q)(8p^8-3q)\)
7. \(p^2-225=(p+15)(p-15)\)
8. \(16p^{8}-88p^4+121=(4p^4-11)^2\)
9. \(100y^2+20y+1=(10y+1)^2\)
10. \(-121y^2+64=(8-11y)(8+11y)\)
11. \(64-169b^{12}=(8-13b^6)(8+13b^6)\)
12. \(256y^{6}-121=(16y^3+11)(16y^3-11)\)