Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2+6a+9\)
2. \(a^2-64\)
3. \(36p^{10}-1\)
4. \(9s^{10}-169y^2\)
5. \(4b^{10}+4b^5y+1y^2\)
6. \(25y^2+90y+81\)
7. \(81s^2-234s+169\)
8. \(196a^2+28a+1\)
9. \(9a^{8}-12a^4b+4b^2\)
10. \(225q^2-330q+121\)
11. \(9x^2-100q^{4}\)
12. \(81a^2-72a+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2+6a+9=(a+3)^2\)
2. \(a^2-64=(a-8)(a+8)\)
3. \(36p^{10}-1=(6p^5+1)(6p^5-1)\)
4. \(9s^{10}-169y^2=(3s^5+13y)(3s^5-13y)\)
5. \(4b^{10}+4b^5y+1y^2=(2b^5+y)^2\)
6. \(25y^2+90y+81=(5y+9)^2\)
7. \(81s^2-234s+169=(9s-13)^2\)
8. \(196a^2+28a+1=(14a+1)^2\)
9. \(9a^{8}-12a^4b+4b^2=(3a^4-2b)^2\)
10. \(225q^2-330q+121=(15q-11)^2\)
11. \(9x^2-100q^{4}=(3x-10q^2)(3x+10q^2)\)
12. \(81a^2-72a+16=(9a-4)^2\)