Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81x^{8}-121\)
2. \(64q^{10}+16q^5y+1y^2\)
3. \(256q^2-25\)
4. \(49a^2+126a+81\)
5. \(9a^{10}-169\)
6. \(-25p^2+9\)
7. \(169-256s^{16}\)
8. \(b^2-100\)
9. \(p^2-12p+36\)
10. \(9q^{6}-48q^3+64\)
11. \(-64x^2+225\)
12. \(64y^{10}+208y^5+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81x^{8}-121=(9x^4+11)(9x^4-11)\)
2. \(64q^{10}+16q^5y+1y^2=(8q^5+y)^2\)
3. \(256q^2-25=(16q+5)(16q-5)\)
4. \(49a^2+126a+81=(7a+9)^2\)
5. \(9a^{10}-169=(3a^5+13)(3a^5-13)\)
6. \(-25p^2+9=(3-5p)(3+5p)\)
7. \(169-256s^{16}=(13-16s^8)(13+16s^8)\)
8. \(b^2-100=(b-10)(b+10)\)
9. \(p^2-12p+36=(p-6)^2\)
10. \(9q^{6}-48q^3+64=(3q^3-8)^2\)
11. \(-64x^2+225=(15-8x)(15+8x)\)
12. \(64y^{10}+208y^5+169=(8y^5+13)^2\)