Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25x^2-144b^{10}\)
2. \(144x^{12}-121\)
3. \(36a^{10}+60a^5x+25x^2\)
4. \(49a^2-64\)
5. \(81q^2+18q+1\)
6. \(25s^2-196\)
7. \(225x^2+330x+121\)
8. \(16a^{10}-56a^5x+49x^2\)
9. \(169q^{6}+26q^3y+1y^2\)
10. \(49-4x^{16}\)
11. \(81a^{6}+72a^3b+16b^2\)
12. \(-16p^2+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25x^2-144b^{10}=(5x-12b^5)(5x+12b^5)\)
2. \(144x^{12}-121=(12x^6+11)(12x^6-11)\)
3. \(36a^{10}+60a^5x+25x^2=(6a^5+5x)^2\)
4. \(49a^2-64=(7a+8)(7a-8)\)
5. \(81q^2+18q+1=(9q+1)^2\)
6. \(25s^2-196=(5s+14)(5s-14)\)
7. \(225x^2+330x+121=(15x+11)^2\)
8. \(16a^{10}-56a^5x+49x^2=(4a^5-7x)^2\)
9. \(169q^{6}+26q^3y+1y^2=(13q^3+y)^2\)
10. \(49-4x^{16}=(7-2x^8)(7+2x^8)\)
11. \(81a^{6}+72a^3b+16b^2=(9a^3+4b)^2\)
12. \(-16p^2+121=(11-4p)(11+4p)\)