Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2+6q+9\)
2. \(49p^{4}-64y^2\)
3. \(169p^{4}-312p^2+144\)
4. \(225p^2-16\)
5. \(b^2-2b+1\)
6. \(169a^2-156a+36\)
7. \(s^2-9\)
8. \(q^2-64\)
9. \(169q^2-49b^{14}\)
10. \(16s^{8}+40s^4y+25y^2\)
11. \(121b^{6}-44b^3x+4x^2\)
12. \(225-64p^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2+6q+9=(q+3)^2\)
2. \(49p^{4}-64y^2=(7p^2+8y)(7p^2-8y)\)
3. \(169p^{4}-312p^2+144=(13p^2-12)^2\)
4. \(225p^2-16=(15p+4)(15p-4)\)
5. \(b^2-2b+1=(b-1)^2\)
6. \(169a^2-156a+36=(13a-6)^2\)
7. \(s^2-9=(s+3)(s-3)\)
8. \(q^2-64=(q+8)(q-8)\)
9. \(169q^2-49b^{14}=(13q-7b^7)(13q+7b^7)\)
10. \(16s^{8}+40s^4y+25y^2=(4s^4+5y)^2\)
11. \(121b^{6}-44b^3x+4x^2=(11b^3-2x)^2\)
12. \(225-64p^{6}=(15-8p^3)(15+8p^3)\)