Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-49\)
2. \(225b^2+390b+169\)
3. \(q^2-81\)
4. \(x^2-25\)
5. \(196y^2-81\)
6. \(36b^{6}-132b^3x+121x^2\)
7. \(25x^2-70x+49\)
8. \(36-169q^{6}\)
9. \(36a^2-169\)
10. \(p^2-144\)
11. \(25a^2-140a+196\)
12. \(a^2-36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-49=(b+7)(b-7)\)
2. \(225b^2+390b+169=(15b+13)^2\)
3. \(q^2-81=(q+9)(q-9)\)
4. \(x^2-25=(x+5)(x-5)\)
5. \(196y^2-81=(14y+9)(14y-9)\)
6. \(36b^{6}-132b^3x+121x^2=(6b^3-11x)^2\)
7. \(25x^2-70x+49=(5x-7)^2\)
8. \(36-169q^{6}=(6-13q^3)(6+13q^3)\)
9. \(36a^2-169=(6a+13)(6a-13)\)
10. \(p^2-144=(p-12)(p+12)\)
11. \(25a^2-140a+196=(5a-14)^2\)
12. \(a^2-36=(a+6)(a-6)\)