Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-144q^2+25\)
2. \(4q^{4}-121s^2\)
3. \(225x^2-1\)
4. \(256b^{6}+32b^3x+1x^2\)
5. \(196a^{10}-81\)
6. \(256q^{10}+416q^5+169\)
7. \(49s^{8}-182s^4+169\)
8. \(4a^{14}-81s^2\)
9. \(100y^2+60y+9\)
10. \(9q^2+24q+16\)
11. \(100a^{8}+140a^4y+49y^2\)
12. \(b^2+6b+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-144q^2+25=(5-12q)(5+12q)\)
2. \(4q^{4}-121s^2=(2q^2+11s)(2q^2-11s)\)
3. \(225x^2-1=(15x+1)(15x-1)\)
4. \(256b^{6}+32b^3x+1x^2=(16b^3+x)^2\)
5. \(196a^{10}-81=(14a^5+9)(14a^5-9)\)
6. \(256q^{10}+416q^5+169=(16q^5+13)^2\)
7. \(49s^{8}-182s^4+169=(7s^4-13)^2\)
8. \(4a^{14}-81s^2=(2a^7+9s)(2a^7-9s)\)
9. \(100y^2+60y+9=(10y+3)^2\)
10. \(9q^2+24q+16=(3q+4)^2\)
11. \(100a^{8}+140a^4y+49y^2=(10a^4+7y)^2\)
12. \(b^2+6b+9=(b+3)^2\)