Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64p^2-49\)
2. \(b^2-100\)
3. \(x^2+18x+81\)
4. \(121q^2-144p^{6}\)
5. \(25p^2-144b^{16}\)
6. \(121b^{6}-64p^2\)
7. \(-256p^2+1\)
8. \(9a^{8}-12a^4s+4s^2\)
9. \(196a^{6}+84a^3p+9p^2\)
10. \(x^2-64\)
11. \(q^2+14q+49\)
12. \(64y^{8}+48y^4+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64p^2-49=(8p+7)(8p-7)\)
2. \(b^2-100=(b-10)(b+10)\)
3. \(x^2+18x+81=(x+9)^2\)
4. \(121q^2-144p^{6}=(11q-12p^3)(11q+12p^3)\)
5. \(25p^2-144b^{16}=(5p-12b^8)(5p+12b^8)\)
6. \(121b^{6}-64p^2=(11b^3+8p)(11b^3-8p)\)
7. \(-256p^2+1=(1-16p)(1+16p)\)
8. \(9a^{8}-12a^4s+4s^2=(3a^4-2s)^2\)
9. \(196a^{6}+84a^3p+9p^2=(14a^3+3p)^2\)
10. \(x^2-64=(x-8)(x+8)\)
11. \(q^2+14q+49=(q+7)^2\)
12. \(64y^{8}+48y^4+9=(8y^4+3)^2\)