Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-225a^2+1\)
2. \(s^2-144\)
3. \(144s^{8}+120s^4x+25x^2\)
4. \(-25a^2+36\)
5. \(x^2+30x+225\)
6. \(25s^{6}-140s^3x+196x^2\)
7. \(a^2-121\)
8. \(121s^{10}-286s^5x+169x^2\)
9. \(16q^2+120q+225\)
10. \(225x^{16}-16y^2\)
11. \(144p^{14}-121\)
12. \(64s^2-80s+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-225a^2+1=(1-15a)(1+15a)\)
2. \(s^2-144=(s-12)(s+12)\)
3. \(144s^{8}+120s^4x+25x^2=(12s^4+5x)^2\)
4. \(-25a^2+36=(6-5a)(6+5a)\)
5. \(x^2+30x+225=(x+15)^2\)
6. \(25s^{6}-140s^3x+196x^2=(5s^3-14x)^2\)
7. \(a^2-121=(a-11)(a+11)\)
8. \(121s^{10}-286s^5x+169x^2=(11s^5-13x)^2\)
9. \(16q^2+120q+225=(4q+15)^2\)
10. \(225x^{16}-16y^2=(15x^8+4y)(15x^8-4y)\)
11. \(144p^{14}-121=(12p^7+11)(12p^7-11)\)
12. \(64s^2-80s+25=(8s-5)^2\)