Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^{6}-256s^2\)
2. \(25a^2-169\)
3. \(-9p^2+49\)
4. \(4a^{8}+4a^4+1\)
5. \(q^2+22q+121\)
6. \(169a^{8}-156a^4y+36y^2\)
7. \(81q^{16}-169y^2\)
8. \(x^{10}-16y^2\)
9. \(1-25b^{4}\)
10. \(-121x^2+169\)
11. \(-9s^2+121\)
12. \(225s^{10}-60s^5+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^{6}-256s^2=(p^3+16s)(p^3-16s)\)
2. \(25a^2-169=(5a+13)(5a-13)\)
3. \(-9p^2+49=(7-3p)(7+3p)\)
4. \(4a^{8}+4a^4+1=(2a^4+1)^2\)
5. \(q^2+22q+121=(q+11)^2\)
6. \(169a^{8}-156a^4y+36y^2=(13a^4-6y)^2\)
7. \(81q^{16}-169y^2=(9q^8+13y)(9q^8-13y)\)
8. \(x^{10}-16y^2=(x^5+4y)(x^5-4y)\)
9. \(1-25b^{4}=(1-5b^2)(1+5b^2)\)
10. \(-121x^2+169=(13-11x)(13+11x)\)
11. \(-9s^2+121=(11-3s)(11+3s)\)
12. \(225s^{10}-60s^5+4=(15s^5-2)^2\)