Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100x^2-1\)
2. \(q^2+10q+25\)
3. \(1-225x^{4}\)
4. \(p^2-64\)
5. \(b^2-9\)
6. \(y^2+22y+121\)
7. \(-169p^2+9\)
8. \(4p^{10}+4p^5+1\)
9. \(64s^{10}-25\)
10. \(4q^2-121\)
11. \(100p^{8}-260p^4s+169s^2\)
12. \(s^2+12s+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100x^2-1=(10x+1)(10x-1)\)
2. \(q^2+10q+25=(q+5)^2\)
3. \(1-225x^{4}=(1-15x^2)(1+15x^2)\)
4. \(p^2-64=(p-8)(p+8)\)
5. \(b^2-9=(b-3)(b+3)\)
6. \(y^2+22y+121=(y+11)^2\)
7. \(-169p^2+9=(3-13p)(3+13p)\)
8. \(4p^{10}+4p^5+1=(2p^5+1)^2\)
9. \(64s^{10}-25=(8s^5+5)(8s^5-5)\)
10. \(4q^2-121=(2q+11)(2q-11)\)
11. \(100p^{8}-260p^4s+169s^2=(10p^4-13s)^2\)
12. \(s^2+12s+36=(s+6)^2\)