Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225p^{8}-121s^2\)
2. \(4y^2-121\)
3. \(4s^{14}-225\)
4. \(q^2-64\)
5. \(196y^2-169a^{4}\)
6. \(169s^2-25a^{10}\)
7. \(25-121s^{16}\)
8. \(64p^2-9\)
9. \(p^2-225\)
10. \(4a^2-49\)
11. \(b^2+2b+1\)
12. \(49a^2-84a+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225p^{8}-121s^2=(15p^4+11s)(15p^4-11s)\)
2. \(4y^2-121=(2y+11)(2y-11)\)
3. \(4s^{14}-225=(2s^7+15)(2s^7-15)\)
4. \(q^2-64=(q-8)(q+8)\)
5. \(196y^2-169a^{4}=(14y-13a^2)(14y+13a^2)\)
6. \(169s^2-25a^{10}=(13s-5a^5)(13s+5a^5)\)
7. \(25-121s^{16}=(5-11s^8)(5+11s^8)\)
8. \(64p^2-9=(8p+3)(8p-3)\)
9. \(p^2-225=(p+15)(p-15)\)
10. \(4a^2-49=(2a+7)(2a-7)\)
11. \(b^2+2b+1=(b+1)^2\)
12. \(49a^2-84a+36=(7a-6)^2\)