Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169y^2-196\)
2. \(169s^2-4a^{14}\)
3. \(s^2-14s+49\)
4. \(225q^{10}-169y^2\)
5. \(256a^{6}-480a^3+225\)
6. \(a^2-64\)
7. \(16a^2+24a+9\)
8. \(121y^2-64\)
9. \(-256s^2+1\)
10. \(256b^{6}-160b^3+25\)
11. \(49-64a^{4}\)
12. \(25y^{16}-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169y^2-196=(13y+14)(13y-14)\)
2. \(169s^2-4a^{14}=(13s-2a^7)(13s+2a^7)\)
3. \(s^2-14s+49=(s-7)^2\)
4. \(225q^{10}-169y^2=(15q^5+13y)(15q^5-13y)\)
5. \(256a^{6}-480a^3+225=(16a^3-15)^2\)
6. \(a^2-64=(a+8)(a-8)\)
7. \(16a^2+24a+9=(4a+3)^2\)
8. \(121y^2-64=(11y+8)(11y-8)\)
9. \(-256s^2+1=(1-16s)(1+16s)\)
10. \(256b^{6}-160b^3+25=(16b^3-5)^2\)
11. \(49-64a^{4}=(7-8a^2)(7+8a^2)\)
12. \(25y^{16}-121=(5y^8+11)(5y^8-11)\)