Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-121y^2+9\)
2. \(144a^{10}-49\)
3. \(25q^2-81b^{6}\)
4. \(121s^{4}-100x^2\)
5. \(100b^2-121\)
6. \(x^2-18x+81\)
7. \(a^2+8a+16\)
8. \(-16p^2+1\)
9. \(256x^{8}-49\)
10. \(4a^{6}+44a^3+121\)
11. \(q^2-8q+16\)
12. \(169s^2-100a^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-121y^2+9=(3-11y)(3+11y)\)
2. \(144a^{10}-49=(12a^5+7)(12a^5-7)\)
3. \(25q^2-81b^{6}=(5q-9b^3)(5q+9b^3)\)
4. \(121s^{4}-100x^2=(11s^2+10x)(11s^2-10x)\)
5. \(100b^2-121=(10b+11)(10b-11)\)
6. \(x^2-18x+81=(x-9)^2\)
7. \(a^2+8a+16=(a+4)^2\)
8. \(-16p^2+1=(1-4p)(1+4p)\)
9. \(256x^{8}-49=(16x^4+7)(16x^4-7)\)
10. \(4a^{6}+44a^3+121=(2a^3+11)^2\)
11. \(q^2-8q+16=(q-4)^2\)
12. \(169s^2-100a^{6}=(13s-10a^3)(13s+10a^3)\)