Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-18q+81\)
2. \(16a^2-120a+225\)
3. \(q^2-169\)
4. \(16q^{10}+104q^5+169\)
5. \(1-25x^{10}\)
6. \(225x^2-121\)
7. \(y^2+22y+121\)
8. \(25q^2-16\)
9. \(36b^2+84b+49\)
10. \(169a^{8}+234a^4y+81y^2\)
11. \(121-64b^{4}\)
12. \(36p^{4}-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-18q+81=(q-9)^2\)
2. \(16a^2-120a+225=(4a-15)^2\)
3. \(q^2-169=(q-13)(q+13)\)
4. \(16q^{10}+104q^5+169=(4q^5+13)^2\)
5. \(1-25x^{10}=(1-5x^5)(1+5x^5)\)
6. \(225x^2-121=(15x+11)(15x-11)\)
7. \(y^2+22y+121=(y+11)^2\)
8. \(25q^2-16=(5q+4)(5q-4)\)
9. \(36b^2+84b+49=(6b+7)^2\)
10. \(169a^{8}+234a^4y+81y^2=(13a^4+9y)^2\)
11. \(121-64b^{4}=(11-8b^2)(11+8b^2)\)
12. \(36p^{4}-1=(6p^2+1)(6p^2-1)\)