Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144b^{14}-121x^2\)
2. \(-64b^2+169\)
3. \(81x^2-16\)
4. \(256q^{8}-288q^4+81\)
5. \(256b^{6}+224b^3y+49y^2\)
6. \(121-16q^{4}\)
7. \(81q^{16}-169s^2\)
8. \(x^2-169\)
9. \(16-225a^{16}\)
10. \(169b^{6}+234b^3q+81q^2\)
11. \(144p^{10}+168p^5+49\)
12. \(225y^2-196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144b^{14}-121x^2=(12b^7+11x)(12b^7-11x)\)
2. \(-64b^2+169=(13-8b)(13+8b)\)
3. \(81x^2-16=(9x+4)(9x-4)\)
4. \(256q^{8}-288q^4+81=(16q^4-9)^2\)
5. \(256b^{6}+224b^3y+49y^2=(16b^3+7y)^2\)
6. \(121-16q^{4}=(11-4q^2)(11+4q^2)\)
7. \(81q^{16}-169s^2=(9q^8+13s)(9q^8-13s)\)
8. \(x^2-169=(x+13)(x-13)\)
9. \(16-225a^{16}=(4-15a^8)(4+15a^8)\)
10. \(169b^{6}+234b^3q+81q^2=(13b^3+9q)^2\)
11. \(144p^{10}+168p^5+49=(12p^5+7)^2\)
12. \(225y^2-196=(15y+14)(15y-14)\)