Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169s^2-25a^{16}\)
2. \(25q^2+80q+64\)
3. \(64q^2+240q+225\)
4. \(y^2-64\)
5. \(25x^2-144q^{6}\)
6. \(y^2-121\)
7. \(144a^2+24a+1\)
8. \(4p^2+20p+25\)
9. \(-169a^2+225\)
10. \(9y^{6}-84y^3+196\)
11. \(36y^{10}-121\)
12. \(x^2-100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169s^2-25a^{16}=(13s-5a^8)(13s+5a^8)\)
2. \(25q^2+80q+64=(5q+8)^2\)
3. \(64q^2+240q+225=(8q+15)^2\)
4. \(y^2-64=(y+8)(y-8)\)
5. \(25x^2-144q^{6}=(5x-12q^3)(5x+12q^3)\)
6. \(y^2-121=(y+11)(y-11)\)
7. \(144a^2+24a+1=(12a+1)^2\)
8. \(4p^2+20p+25=(2p+5)^2\)
9. \(-169a^2+225=(15-13a)(15+13a)\)
10. \(9y^{6}-84y^3+196=(3y^3-14)^2\)
11. \(36y^{10}-121=(6y^5+11)(6y^5-11)\)
12. \(x^2-100=(x-10)(x+10)\)