Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-36\)
2. \(225-196a^{4}\)
3. \(p^2+12p+36\)
4. \(-36y^2+169\)
5. \(q^2-8q+16\)
6. \(-121q^2+144\)
7. \(121p^{8}-100s^2\)
8. \(-36p^2+121\)
9. \(169s^2-144b^{10}\)
10. \(121s^{4}-144x^2\)
11. \(9y^2-49a^{16}\)
12. \(144b^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-36=(y-6)(y+6)\)
2. \(225-196a^{4}=(15-14a^2)(15+14a^2)\)
3. \(p^2+12p+36=(p+6)^2\)
4. \(-36y^2+169=(13-6y)(13+6y)\)
5. \(q^2-8q+16=(q-4)^2\)
6. \(-121q^2+144=(12-11q)(12+11q)\)
7. \(121p^{8}-100s^2=(11p^4+10s)(11p^4-10s)\)
8. \(-36p^2+121=(11-6p)(11+6p)\)
9. \(169s^2-144b^{10}=(13s-12b^5)(13s+12b^5)\)
10. \(121s^{4}-144x^2=(11s^2+12x)(11s^2-12x)\)
11. \(9y^2-49a^{16}=(3y-7a^8)(3y+7a^8)\)
12. \(144b^2-49=(12b+7)(12b-7)\)