Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4q^2+4q+1\)
2. \(a^2-26a+169\)
3. \(225-64p^{14}\)
4. \(100a^{6}-260a^3y+169y^2\)
5. \(144y^{4}-264y^2+121\)
6. \(9-256p^{8}\)
7. \(256b^{6}-1\)
8. \(y^2+2y+1\)
9. \(9a^{14}-4b^2\)
10. \(16x^2-49\)
11. \(16p^2+40p+25\)
12. \(p^2+6p+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4q^2+4q+1=(2q+1)^2\)
2. \(a^2-26a+169=(a-13)^2\)
3. \(225-64p^{14}=(15-8p^7)(15+8p^7)\)
4. \(100a^{6}-260a^3y+169y^2=(10a^3-13y)^2\)
5. \(144y^{4}-264y^2+121=(12y^2-11)^2\)
6. \(9-256p^{8}=(3-16p^4)(3+16p^4)\)
7. \(256b^{6}-1=(16b^3+1)(16b^3-1)\)
8. \(y^2+2y+1=(y+1)^2\)
9. \(9a^{14}-4b^2=(3a^7+2b)(3a^7-2b)\)
10. \(16x^2-49=(4x+7)(4x-7)\)
11. \(16p^2+40p+25=(4p+5)^2\)
12. \(p^2+6p+9=(p+3)^2\)