Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25b^{6}-144\)
2. \(81x^{6}-1\)
3. \(144x^2-1\)
4. \(16s^{14}-169\)
5. \(9s^{6}+6s^3y+1y^2\)
6. \(121p^2+264p+144\)
7. \(-4x^2+225\)
8. \(a^2-196\)
9. \(225a^{8}+210a^4+49\)
10. \(144s^{10}+168s^5+49\)
11. \(a^2-36\)
12. \(169b^2+364b+196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25b^{6}-144=(5b^3+12)(5b^3-12)\)
2. \(81x^{6}-1=(9x^3+1)(9x^3-1)\)
3. \(144x^2-1=(12x+1)(12x-1)\)
4. \(16s^{14}-169=(4s^7+13)(4s^7-13)\)
5. \(9s^{6}+6s^3y+1y^2=(3s^3+y)^2\)
6. \(121p^2+264p+144=(11p+12)^2\)
7. \(-4x^2+225=(15-2x)(15+2x)\)
8. \(a^2-196=(a-14)(a+14)\)
9. \(225a^{8}+210a^4+49=(15a^4+7)^2\)
10. \(144s^{10}+168s^5+49=(12s^5+7)^2\)
11. \(a^2-36=(a+6)(a-6)\)
12. \(169b^2+364b+196=(13b+14)^2\)