Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144p^2-264p+121\)
2. \(169q^{6}-100y^2\)
3. \(s^2-8s+16\)
4. \(100q^{14}-1\)
5. \(225p^{4}-49y^2\)
6. \(256q^2+160q+25\)
7. \(196x^{8}-364x^4+169\)
8. \(y^2-169\)
9. \(-4y^2+169\)
10. \(169b^2-156b+36\)
11. \(64a^{4}-112a^2x+49x^2\)
12. \(1-121q^{14}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144p^2-264p+121=(12p-11)^2\)
2. \(169q^{6}-100y^2=(13q^3+10y)(13q^3-10y)\)
3. \(s^2-8s+16=(s-4)^2\)
4. \(100q^{14}-1=(10q^7+1)(10q^7-1)\)
5. \(225p^{4}-49y^2=(15p^2+7y)(15p^2-7y)\)
6. \(256q^2+160q+25=(16q+5)^2\)
7. \(196x^{8}-364x^4+169=(14x^4-13)^2\)
8. \(y^2-169=(y-13)(y+13)\)
9. \(-4y^2+169=(13-2y)(13+2y)\)
10. \(169b^2-156b+36=(13b-6)^2\)
11. \(64a^{4}-112a^2x+49x^2=(8a^2-7x)^2\)
12. \(1-121q^{14}=(1-11q^7)(1+11q^7)\)