Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169a^{10}-4x^2\)
2. \(9p^2-196b^{16}\)
3. \(9x^2-100s^{10}\)
4. \(100s^{10}-121\)
5. \(x^2-36\)
6. \(9-64q^{8}\)
7. \(169y^{10}+208y^5+64\)
8. \(-49q^2+225\)
9. \(q^2-169\)
10. \(p^2-4\)
11. \(49x^2-36s^{12}\)
12. \(121-256a^{14}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169a^{10}-4x^2=(13a^5+2x)(13a^5-2x)\)
2. \(9p^2-196b^{16}=(3p-14b^8)(3p+14b^8)\)
3. \(9x^2-100s^{10}=(3x-10s^5)(3x+10s^5)\)
4. \(100s^{10}-121=(10s^5+11)(10s^5-11)\)
5. \(x^2-36=(x-6)(x+6)\)
6. \(9-64q^{8}=(3-8q^4)(3+8q^4)\)
7. \(169y^{10}+208y^5+64=(13y^5+8)^2\)
8. \(-49q^2+225=(15-7q)(15+7q)\)
9. \(q^2-169=(q+13)(q-13)\)
10. \(p^2-4=(p-2)(p+2)\)
11. \(49x^2-36s^{12}=(7x-6s^6)(7x+6s^6)\)
12. \(121-256a^{14}=(11-16a^7)(11+16a^7)\)