Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225s^2-49a^{10}\)
2. \(x^2-100\)
3. \(49-36y^{16}\)
4. \(225a^2-1\)
5. \(b^2-64\)
6. \(25x^{6}+30x^3+9\)
7. \(q^2-169\)
8. \(100x^{8}+60x^4+9\)
9. \(64b^{6}+240b^3+225\)
10. \(196b^2+252b+81\)
11. \(81-64y^{6}\)
12. \(9b^{6}+42b^3q+49q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225s^2-49a^{10}=(15s-7a^5)(15s+7a^5)\)
2. \(x^2-100=(x-10)(x+10)\)
3. \(49-36y^{16}=(7-6y^8)(7+6y^8)\)
4. \(225a^2-1=(15a+1)(15a-1)\)
5. \(b^2-64=(b+8)(b-8)\)
6. \(25x^{6}+30x^3+9=(5x^3+3)^2\)
7. \(q^2-169=(q-13)(q+13)\)
8. \(100x^{8}+60x^4+9=(10x^4+3)^2\)
9. \(64b^{6}+240b^3+225=(8b^3+15)^2\)
10. \(196b^2+252b+81=(14b+9)^2\)
11. \(81-64y^{6}=(9-8y^3)(9+8y^3)\)
12. \(9b^{6}+42b^3q+49q^2=(3b^3+7q)^2\)