Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169-81q^{8}\)
2. \(x^2-225\)
3. \(225a^{6}+330a^3+121\)
4. \(144s^2+24s+1\)
5. \(256y^2-225\)
6. \(b^2+6b+9\)
7. \(4p^2+4p+1\)
8. \(s^2-25\)
9. \(-100p^2+169\)
10. \(169q^{10}-312q^5+144\)
11. \(256q^{6}-160q^3y+25y^2\)
12. \(225-169b^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169-81q^{8}=(13-9q^4)(13+9q^4)\)
2. \(x^2-225=(x+15)(x-15)\)
3. \(225a^{6}+330a^3+121=(15a^3+11)^2\)
4. \(144s^2+24s+1=(12s+1)^2\)
5. \(256y^2-225=(16y+15)(16y-15)\)
6. \(b^2+6b+9=(b+3)^2\)
7. \(4p^2+4p+1=(2p+1)^2\)
8. \(s^2-25=(s+5)(s-5)\)
9. \(-100p^2+169=(13-10p)(13+10p)\)
10. \(169q^{10}-312q^5+144=(13q^5-12)^2\)
11. \(256q^{6}-160q^3y+25y^2=(16q^3-5y)^2\)
12. \(225-169b^{10}=(15-13b^5)(15+13b^5)\)