Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-144s^2+1\)
2. \(121x^2+286x+169\)
3. \(y^2+10y+25\)
4. \(169p^2-121\)
5. \(x^2-1\)
6. \(225y^{14}-64\)
7. \(-49p^2+4\)
8. \(-225x^2+169\)
9. \(4y^2-9q^{12}\)
10. \(169a^{10}-25\)
11. \(196s^2-364s+169\)
12. \(16q^{16}-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-144s^2+1=(1-12s)(1+12s)\)
2. \(121x^2+286x+169=(11x+13)^2\)
3. \(y^2+10y+25=(y+5)^2\)
4. \(169p^2-121=(13p+11)(13p-11)\)
5. \(x^2-1=(x+1)(x-1)\)
6. \(225y^{14}-64=(15y^7+8)(15y^7-8)\)
7. \(-49p^2+4=(2-7p)(2+7p)\)
8. \(-225x^2+169=(13-15x)(13+15x)\)
9. \(4y^2-9q^{12}=(2y-3q^6)(2y+3q^6)\)
10. \(169a^{10}-25=(13a^5+5)(13a^5-5)\)
11. \(196s^2-364s+169=(14s-13)^2\)
12. \(16q^{16}-1=(4q^8+1)(4q^8-1)\)