Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-49p^2+25\)
2. \(y^2-100\)
3. \(x^2-1\)
4. \(4p^{14}-169x^2\)
5. \(y^2-22y+121\)
6. \(s^2+22s+121\)
7. \(s^2+30s+225\)
8. \(196b^{4}+308b^2y+121y^2\)
9. \(x^2-26x+169\)
10. \(64y^{6}-9\)
11. \(36b^{12}-1\)
12. \(q^2-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-49p^2+25=(5-7p)(5+7p)\)
2. \(y^2-100=(y-10)(y+10)\)
3. \(x^2-1=(x+1)(x-1)\)
4. \(4p^{14}-169x^2=(2p^7+13x)(2p^7-13x)\)
5. \(y^2-22y+121=(y-11)^2\)
6. \(s^2+22s+121=(s+11)^2\)
7. \(s^2+30s+225=(s+15)^2\)
8. \(196b^{4}+308b^2y+121y^2=(14b^2+11y)^2\)
9. \(x^2-26x+169=(x-13)^2\)
10. \(64y^{6}-9=(8y^3+3)(8y^3-3)\)
11. \(36b^{12}-1=(6b^6+1)(6b^6-1)\)
12. \(q^2-81=(q+9)(q-9)\)