Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-14s+49\)
2. \(b^2+18b+81\)
3. \(25s^{8}+10s^4+1\)
4. \(121p^{10}-9\)
5. \(b^2-24b+144\)
6. \(100q^{4}+60q^2+9\)
7. \(81a^{4}-144a^2s+64s^2\)
8. \(4a^{10}+20a^5+25\)
9. \(b^2-169\)
10. \(x^2+24x+144\)
11. \(b^{6}-49p^2\)
12. \(9y^{6}-66y^3+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-14s+49=(s-7)^2\)
2. \(b^2+18b+81=(b+9)^2\)
3. \(25s^{8}+10s^4+1=(5s^4+1)^2\)
4. \(121p^{10}-9=(11p^5+3)(11p^5-3)\)
5. \(b^2-24b+144=(b-12)^2\)
6. \(100q^{4}+60q^2+9=(10q^2+3)^2\)
7. \(81a^{4}-144a^2s+64s^2=(9a^2-8s)^2\)
8. \(4a^{10}+20a^5+25=(2a^5+5)^2\)
9. \(b^2-169=(b+13)(b-13)\)
10. \(x^2+24x+144=(x+12)^2\)
11. \(b^{6}-49p^2=(b^3+7p)(b^3-7p)\)
12. \(9y^{6}-66y^3+121=(3y^3-11)^2\)