Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225a^{10}-169b^2\)
2. \(q^{6}-81y^2\)
3. \(s^2-49\)
4. \(121x^2-64a^{12}\)
5. \(81b^2+234b+169\)
6. \(36x^{6}-60x^3+25\)
7. \(64a^{10}+112a^5b+49b^2\)
8. \(36a^2-60a+25\)
9. \(169y^2-416y+256\)
10. \(-169b^2+144\)
11. \(x^2-12x+36\)
12. \(1-225s^{14}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225a^{10}-169b^2=(15a^5+13b)(15a^5-13b)\)
2. \(q^{6}-81y^2=(q^3+9y)(q^3-9y)\)
3. \(s^2-49=(s+7)(s-7)\)
4. \(121x^2-64a^{12}=(11x-8a^6)(11x+8a^6)\)
5. \(81b^2+234b+169=(9b+13)^2\)
6. \(36x^{6}-60x^3+25=(6x^3-5)^2\)
7. \(64a^{10}+112a^5b+49b^2=(8a^5+7b)^2\)
8. \(36a^2-60a+25=(6a-5)^2\)
9. \(169y^2-416y+256=(13y-16)^2\)
10. \(-169b^2+144=(12-13b)(12+13b)\)
11. \(x^2-12x+36=(x-6)^2\)
12. \(1-225s^{14}=(1-15s^7)(1+15s^7)\)