Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-144\)
2. \(b^2+14b+49\)
3. \(s^2-14s+49\)
4. \(121-144s^{10}\)
5. \(25s^{4}-64\)
6. \(49q^2-169p^{6}\)
7. \(x^2-49\)
8. \(q^2-1\)
9. \(144y^2-1\)
10. \(121p^2-81\)
11. \(121b^{6}-286b^3+169\)
12. \(s^{14}-4y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-144=(s-12)(s+12)\)
2. \(b^2+14b+49=(b+7)^2\)
3. \(s^2-14s+49=(s-7)^2\)
4. \(121-144s^{10}=(11-12s^5)(11+12s^5)\)
5. \(25s^{4}-64=(5s^2+8)(5s^2-8)\)
6. \(49q^2-169p^{6}=(7q-13p^3)(7q+13p^3)\)
7. \(x^2-49=(x+7)(x-7)\)
8. \(q^2-1=(q-1)(q+1)\)
9. \(144y^2-1=(12y+1)(12y-1)\)
10. \(121p^2-81=(11p+9)(11p-9)\)
11. \(121b^{6}-286b^3+169=(11b^3-13)^2\)
12. \(s^{14}-4y^2=(s^7+2y)(s^7-2y)\)