Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-196\)
2. \(169q^2+312q+144\)
3. \(256q^{10}-288q^5y+81y^2\)
4. \(-121x^2+4\)
5. \(36a^{6}+84a^3+49\)
6. \(36b^{4}-60b^2y+25y^2\)
7. \(a^2-144\)
8. \(256x^2+32x+1\)
9. \(9a^{12}-16\)
10. \(9-64y^{14}\)
11. \(4x^{8}+12x^4+9\)
12. \(25a^2+60a+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-196=(s-14)(s+14)\)
2. \(169q^2+312q+144=(13q+12)^2\)
3. \(256q^{10}-288q^5y+81y^2=(16q^5-9y)^2\)
4. \(-121x^2+4=(2-11x)(2+11x)\)
5. \(36a^{6}+84a^3+49=(6a^3+7)^2\)
6. \(36b^{4}-60b^2y+25y^2=(6b^2-5y)^2\)
7. \(a^2-144=(a+12)(a-12)\)
8. \(256x^2+32x+1=(16x+1)^2\)
9. \(9a^{12}-16=(3a^6+4)(3a^6-4)\)
10. \(9-64y^{14}=(3-8y^7)(3+8y^7)\)
11. \(4x^{8}+12x^4+9=(2x^4+3)^2\)
12. \(25a^2+60a+36=(5a+6)^2\)