Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225s^2-4\)
2. \(49x^{12}-9\)
3. \(196p^{14}-9x^2\)
4. \(4p^2+4p+1\)
5. \(64-25p^{12}\)
6. \(25-16p^{10}\)
7. \(81q^2-256b^{6}\)
8. \(81q^{12}-49x^2\)
9. \(144s^{6}-121\)
10. \(25p^2-121\)
11. \(-49q^2+225\)
12. \(b^2-10b+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225s^2-4=(15s+2)(15s-2)\)
2. \(49x^{12}-9=(7x^6+3)(7x^6-3)\)
3. \(196p^{14}-9x^2=(14p^7+3x)(14p^7-3x)\)
4. \(4p^2+4p+1=(2p+1)^2\)
5. \(64-25p^{12}=(8-5p^6)(8+5p^6)\)
6. \(25-16p^{10}=(5-4p^5)(5+4p^5)\)
7. \(81q^2-256b^{6}=(9q-16b^3)(9q+16b^3)\)
8. \(81q^{12}-49x^2=(9q^6+7x)(9q^6-7x)\)
9. \(144s^{6}-121=(12s^3+11)(12s^3-11)\)
10. \(25p^2-121=(5p+11)(5p-11)\)
11. \(-49q^2+225=(15-7q)(15+7q)\)
12. \(b^2-10b+25=(b-5)^2\)