Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25b^{6}+60b^3x+36x^2\)
2. \(16q^{4}-88q^2+121\)
3. \(b^2-144\)
4. \(a^2-25\)
5. \(121s^{6}-352s^3+256\)
6. \(s^2-6s+9\)
7. \(225y^{16}-169\)
8. \(16s^{6}-56s^3+49\)
9. \(196x^2-9\)
10. \(81b^{8}-234b^4s+169s^2\)
11. \(-9b^2+196\)
12. \(9s^{6}-84s^3x+196x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25b^{6}+60b^3x+36x^2=(5b^3+6x)^2\)
2. \(16q^{4}-88q^2+121=(4q^2-11)^2\)
3. \(b^2-144=(b+12)(b-12)\)
4. \(a^2-25=(a+5)(a-5)\)
5. \(121s^{6}-352s^3+256=(11s^3-16)^2\)
6. \(s^2-6s+9=(s-3)^2\)
7. \(225y^{16}-169=(15y^8+13)(15y^8-13)\)
8. \(16s^{6}-56s^3+49=(4s^3-7)^2\)
9. \(196x^2-9=(14x+3)(14x-3)\)
10. \(81b^{8}-234b^4s+169s^2=(9b^4-13s)^2\)
11. \(-9b^2+196=(14-3b)(14+3b)\)
12. \(9s^{6}-84s^3x+196x^2=(3s^3-14x)^2\)