Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49y^2-144x^{6}\)
2. \(q^2-26q+169\)
3. \(36q^{6}+60q^3x+25x^2\)
4. \(4p^{10}+44p^5+121\)
5. \(256x^2-96x+9\)
6. \(256s^{6}-160s^3y+25y^2\)
7. \(100p^2-260p+169\)
8. \(9s^{8}-66s^4+121\)
9. \(a^2-10a+25\)
10. \(16a^{8}+8a^4y+1y^2\)
11. \(225x^{12}-121y^2\)
12. \(36a^2+12a+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49y^2-144x^{6}=(7y-12x^3)(7y+12x^3)\)
2. \(q^2-26q+169=(q-13)^2\)
3. \(36q^{6}+60q^3x+25x^2=(6q^3+5x)^2\)
4. \(4p^{10}+44p^5+121=(2p^5+11)^2\)
5. \(256x^2-96x+9=(16x-3)^2\)
6. \(256s^{6}-160s^3y+25y^2=(16s^3-5y)^2\)
7. \(100p^2-260p+169=(10p-13)^2\)
8. \(9s^{8}-66s^4+121=(3s^4-11)^2\)
9. \(a^2-10a+25=(a-5)^2\)
10. \(16a^{8}+8a^4y+1y^2=(4a^4+y)^2\)
11. \(225x^{12}-121y^2=(15x^6+11y)(15x^6-11y)\)
12. \(36a^2+12a+1=(6a+1)^2\)