Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2+26q+169\)
2. \(256b^{6}+352b^3+121\)
3. \(81b^2-144b+64\)
4. \(121x^{8}-81\)
5. \(4q^{8}+4q^4y+1y^2\)
6. \(-81q^2+100\)
7. \(4b^{4}+20b^2q+25q^2\)
8. \(25y^{4}-140y^2+196\)
9. \(16x^{4}+88x^2y+121y^2\)
10. \(25-16b^{10}\)
11. \(121b^{6}+264b^3x+144x^2\)
12. \(q^2-8q+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2+26q+169=(q+13)^2\)
2. \(256b^{6}+352b^3+121=(16b^3+11)^2\)
3. \(81b^2-144b+64=(9b-8)^2\)
4. \(121x^{8}-81=(11x^4+9)(11x^4-9)\)
5. \(4q^{8}+4q^4y+1y^2=(2q^4+y)^2\)
6. \(-81q^2+100=(10-9q)(10+9q)\)
7. \(4b^{4}+20b^2q+25q^2=(2b^2+5q)^2\)
8. \(25y^{4}-140y^2+196=(5y^2-14)^2\)
9. \(16x^{4}+88x^2y+121y^2=(4x^2+11y)^2\)
10. \(25-16b^{10}=(5-4b^5)(5+4b^5)\)
11. \(121b^{6}+264b^3x+144x^2=(11b^3+12x)^2\)
12. \(q^2-8q+16=(q-4)^2\)