Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-16\)
2. \(169b^{8}+208b^4p+64p^2\)
3. \(y^2-22y+121\)
4. \(x^2-16x+64\)
5. \(x^2+30x+225\)
6. \(y^2-14y+49\)
7. \(36q^{14}-121\)
8. \(49x^{16}-25\)
9. \(169q^{16}-225x^2\)
10. \(169y^{12}-144\)
11. \(p^2-64\)
12. \(169p^{6}-104p^3+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-16=(s+4)(s-4)\)
2. \(169b^{8}+208b^4p+64p^2=(13b^4+8p)^2\)
3. \(y^2-22y+121=(y-11)^2\)
4. \(x^2-16x+64=(x-8)^2\)
5. \(x^2+30x+225=(x+15)^2\)
6. \(y^2-14y+49=(y-7)^2\)
7. \(36q^{14}-121=(6q^7+11)(6q^7-11)\)
8. \(49x^{16}-25=(7x^8+5)(7x^8-5)\)
9. \(169q^{16}-225x^2=(13q^8+15x)(13q^8-15x)\)
10. \(169y^{12}-144=(13y^6+12)(13y^6-12)\)
11. \(p^2-64=(p-8)(p+8)\)
12. \(169p^{6}-104p^3+16=(13p^3-4)^2\)