Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121b^2+44b+4\)
2. \(a^2-26a+169\)
3. \(36p^2+60p+25\)
4. \(144x^2-49p^{16}\)
5. \(225a^2-64\)
6. \(9b^2-196a^{8}\)
7. \(x^2-36\)
8. \(36x^{6}-132x^3+121\)
9. \(a^2-1\)
10. \(-25s^2+9\)
11. \(4a^{8}+28a^4q+49q^2\)
12. \(y^2-4y+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121b^2+44b+4=(11b+2)^2\)
2. \(a^2-26a+169=(a-13)^2\)
3. \(36p^2+60p+25=(6p+5)^2\)
4. \(144x^2-49p^{16}=(12x-7p^8)(12x+7p^8)\)
5. \(225a^2-64=(15a+8)(15a-8)\)
6. \(9b^2-196a^{8}=(3b-14a^4)(3b+14a^4)\)
7. \(x^2-36=(x+6)(x-6)\)
8. \(36x^{6}-132x^3+121=(6x^3-11)^2\)
9. \(a^2-1=(a-1)(a+1)\)
10. \(-25s^2+9=(3-5s)(3+5s)\)
11. \(4a^{8}+28a^4q+49q^2=(2a^4+7q)^2\)
12. \(y^2-4y+4=(y-2)^2\)