Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121q^2-225b^{14}\)
2. \(225q^{16}-1\)
3. \(y^2+12y+36\)
4. \(b^2-169\)
5. \(9x^2+6x+1\)
6. \(49a^{8}+14a^4p+1p^2\)
7. \(-256b^2+169\)
8. \(100b^2-81\)
9. \(64s^{16}-225\)
10. \(256x^{4}-160x^2+25\)
11. \(s^2-225\)
12. \(144b^{8}+24b^4y+1y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121q^2-225b^{14}=(11q-15b^7)(11q+15b^7)\)
2. \(225q^{16}-1=(15q^8+1)(15q^8-1)\)
3. \(y^2+12y+36=(y+6)^2\)
4. \(b^2-169=(b+13)(b-13)\)
5. \(9x^2+6x+1=(3x+1)^2\)
6. \(49a^{8}+14a^4p+1p^2=(7a^4+p)^2\)
7. \(-256b^2+169=(13-16b)(13+16b)\)
8. \(100b^2-81=(10b+9)(10b-9)\)
9. \(64s^{16}-225=(8s^8+15)(8s^8-15)\)
10. \(256x^{4}-160x^2+25=(16x^2-5)^2\)
11. \(s^2-225=(s+15)(s-15)\)
12. \(144b^{8}+24b^4y+1y^2=(12b^4+y)^2\)