Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-25\)
2. \(196a^{8}+252a^4b+81b^2\)
3. \(225x^2-121\)
4. \(4y^2-169s^{4}\)
5. \(p^2+12p+36\)
6. \(169b^{6}-156b^3+36\)
7. \(25s^2-144a^{16}\)
8. \(25y^2-s^{16}\)
9. \(81q^{10}+180q^5+100\)
10. \(225a^{8}-420a^4+196\)
11. \(4p^2-25b^{12}\)
12. \(4b^{14}-9p^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-25=(b-5)(b+5)\)
2. \(196a^{8}+252a^4b+81b^2=(14a^4+9b)^2\)
3. \(225x^2-121=(15x+11)(15x-11)\)
4. \(4y^2-169s^{4}=(2y-13s^2)(2y+13s^2)\)
5. \(p^2+12p+36=(p+6)^2\)
6. \(169b^{6}-156b^3+36=(13b^3-6)^2\)
7. \(25s^2-144a^{16}=(5s-12a^8)(5s+12a^8)\)
8. \(25y^2-s^{16}=(5y-s^8)(5y+s^8)\)
9. \(81q^{10}+180q^5+100=(9q^5+10)^2\)
10. \(225a^{8}-420a^4+196=(15a^4-14)^2\)
11. \(4p^2-25b^{12}=(2p-5b^6)(2p+5b^6)\)
12. \(4b^{14}-9p^2=(2b^7+3p)(2b^7-3p)\)