Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225p^{6}-49\)
2. \(169-64s^{12}\)
3. \(q^2-49\)
4. \(a^2+8a+16\)
5. \(121x^2-286x+169\)
6. \(49-100y^{16}\)
7. \(196s^2+28s+1\)
8. \(169s^2-196q^{8}\)
9. \(225y^2+210y+49\)
10. \(36b^{4}+12b^2s+1s^2\)
11. \(x^2-18x+81\)
12. \(s^2+6s+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225p^{6}-49=(15p^3+7)(15p^3-7)\)
2. \(169-64s^{12}=(13-8s^6)(13+8s^6)\)
3. \(q^2-49=(q-7)(q+7)\)
4. \(a^2+8a+16=(a+4)^2\)
5. \(121x^2-286x+169=(11x-13)^2\)
6. \(49-100y^{16}=(7-10y^8)(7+10y^8)\)
7. \(196s^2+28s+1=(14s+1)^2\)
8. \(169s^2-196q^{8}=(13s-14q^4)(13s+14q^4)\)
9. \(225y^2+210y+49=(15y+7)^2\)
10. \(36b^{4}+12b^2s+1s^2=(6b^2+s)^2\)
11. \(x^2-18x+81=(x-9)^2\)
12. \(s^2+6s+9=(s+3)^2\)