Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49b^2-169\)
2. \(64s^2-81\)
3. \(64a^{10}-9\)
4. \(x^2+18x+81\)
5. \(16a^{6}+120a^3+225\)
6. \(b^2-9\)
7. \(169x^{16}-4\)
8. \(100a^2-169\)
9. \(49a^{6}+56a^3p+16p^2\)
10. \(36s^{8}-1\)
11. \(81b^2-49\)
12. \(64b^{8}+240b^4q+225q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49b^2-169=(7b+13)(7b-13)\)
2. \(64s^2-81=(8s+9)(8s-9)\)
3. \(64a^{10}-9=(8a^5+3)(8a^5-3)\)
4. \(x^2+18x+81=(x+9)^2\)
5. \(16a^{6}+120a^3+225=(4a^3+15)^2\)
6. \(b^2-9=(b-3)(b+3)\)
7. \(169x^{16}-4=(13x^8+2)(13x^8-2)\)
8. \(100a^2-169=(10a+13)(10a-13)\)
9. \(49a^{6}+56a^3p+16p^2=(7a^3+4p)^2\)
10. \(36s^{8}-1=(6s^4+1)(6s^4-1)\)
11. \(81b^2-49=(9b+7)(9b-7)\)
12. \(64b^{8}+240b^4q+225q^2=(8b^4+15q)^2\)