Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64p^2-49\)
2. \(s^2+24s+144\)
3. \(25y^2+110y+121\)
4. \(25a^{4}-70a^2y+49y^2\)
5. \(4p^{6}+60p^3+225\)
6. \(4x^{6}+4x^3y+1y^2\)
7. \(s^2+22s+121\)
8. \(25s^2-36b^{10}\)
9. \(225s^{8}+330s^4+121\)
10. \(16b^{8}-225\)
11. \(100q^2-60q+9\)
12. \(y^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64p^2-49=(8p+7)(8p-7)\)
2. \(s^2+24s+144=(s+12)^2\)
3. \(25y^2+110y+121=(5y+11)^2\)
4. \(25a^{4}-70a^2y+49y^2=(5a^2-7y)^2\)
5. \(4p^{6}+60p^3+225=(2p^3+15)^2\)
6. \(4x^{6}+4x^3y+1y^2=(2x^3+y)^2\)
7. \(s^2+22s+121=(s+11)^2\)
8. \(25s^2-36b^{10}=(5s-6b^5)(5s+6b^5)\)
9. \(225s^{8}+330s^4+121=(15s^4+11)^2\)
10. \(16b^{8}-225=(4b^4+15)(4b^4-15)\)
11. \(100q^2-60q+9=(10q-3)^2\)
12. \(y^2-169=(y+13)(y-13)\)