Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-30p+225\)
2. \(p^2-25\)
3. \(49q^2-224q+256\)
4. \(100q^2+220q+121\)
5. \(49-225b^{12}\)
6. \(4a^{6}+4a^3+1\)
7. \(36a^{10}-25y^2\)
8. \(-225y^2+64\)
9. \(100q^2+20q+1\)
10. \(25s^{10}-49\)
11. \(s^2-169\)
12. \(s^2+16s+64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-30p+225=(p-15)^2\)
2. \(p^2-25=(p+5)(p-5)\)
3. \(49q^2-224q+256=(7q-16)^2\)
4. \(100q^2+220q+121=(10q+11)^2\)
5. \(49-225b^{12}=(7-15b^6)(7+15b^6)\)
6. \(4a^{6}+4a^3+1=(2a^3+1)^2\)
7. \(36a^{10}-25y^2=(6a^5+5y)(6a^5-5y)\)
8. \(-225y^2+64=(8-15y)(8+15y)\)
9. \(100q^2+20q+1=(10q+1)^2\)
10. \(25s^{10}-49=(5s^5+7)(5s^5-7)\)
11. \(s^2-169=(s+13)(s-13)\)
12. \(s^2+16s+64=(s+8)^2\)