Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225a^{10}-210a^5q+49q^2\)
2. \(25p^{10}+120p^5+144\)
3. \(81-256a^{14}\)
4. \(225p^{12}-121x^2\)
5. \(p^2+18p+81\)
6. \(169y^2-25p^{16}\)
7. \(64x^2+16x+1\)
8. \(y^2-196\)
9. \(-16a^2+49\)
10. \(p^2+24p+144\)
11. \(p^2-196\)
12. \(b^2+12b+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225a^{10}-210a^5q+49q^2=(15a^5-7q)^2\)
2. \(25p^{10}+120p^5+144=(5p^5+12)^2\)
3. \(81-256a^{14}=(9-16a^7)(9+16a^7)\)
4. \(225p^{12}-121x^2=(15p^6+11x)(15p^6-11x)\)
5. \(p^2+18p+81=(p+9)^2\)
6. \(169y^2-25p^{16}=(13y-5p^8)(13y+5p^8)\)
7. \(64x^2+16x+1=(8x+1)^2\)
8. \(y^2-196=(y-14)(y+14)\)
9. \(-16a^2+49=(7-4a)(7+4a)\)
10. \(p^2+24p+144=(p+12)^2\)
11. \(p^2-196=(p+14)(p-14)\)
12. \(b^2+12b+36=(b+6)^2\)