Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121x^2-110x+25\)
2. \(9y^2-196a^{10}\)
3. \(4q^{4}+4q^2+1\)
4. \(64s^{10}+112s^5+49\)
5. \(p^2-26p+169\)
6. \(q^2-121\)
7. \(q^2-169\)
8. \(-81x^2+64\)
9. \(225q^2+330q+121\)
10. \(121-36x^{4}\)
11. \(100a^{8}+220a^4b+121b^2\)
12. \(s^2-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121x^2-110x+25=(11x-5)^2\)
2. \(9y^2-196a^{10}=(3y-14a^5)(3y+14a^5)\)
3. \(4q^{4}+4q^2+1=(2q^2+1)^2\)
4. \(64s^{10}+112s^5+49=(8s^5+7)^2\)
5. \(p^2-26p+169=(p-13)^2\)
6. \(q^2-121=(q+11)(q-11)\)
7. \(q^2-169=(q-13)(q+13)\)
8. \(-81x^2+64=(8-9x)(8+9x)\)
9. \(225q^2+330q+121=(15q+11)^2\)
10. \(121-36x^{4}=(11-6x^2)(11+6x^2)\)
11. \(100a^{8}+220a^4b+121b^2=(10a^4+11b)^2\)
12. \(s^2-81=(s+9)(s-9)\)