Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121b^2-176b+64\)
2. \(b^2-49\)
3. \(256s^{10}+32s^5+1\)
4. \(s^2-25\)
5. \(36a^{10}-49s^2\)
6. \(q^2+22q+121\)
7. \(-121p^2+4\)
8. \(64-49y^{8}\)
9. \(100b^2-1\)
10. \(256q^{10}+96q^5+9\)
11. \(144y^{10}+24y^5+1\)
12. \(y^2-100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121b^2-176b+64=(11b-8)^2\)
2. \(b^2-49=(b-7)(b+7)\)
3. \(256s^{10}+32s^5+1=(16s^5+1)^2\)
4. \(s^2-25=(s+5)(s-5)\)
5. \(36a^{10}-49s^2=(6a^5+7s)(6a^5-7s)\)
6. \(q^2+22q+121=(q+11)^2\)
7. \(-121p^2+4=(2-11p)(2+11p)\)
8. \(64-49y^{8}=(8-7y^4)(8+7y^4)\)
9. \(100b^2-1=(10b+1)(10b-1)\)
10. \(256q^{10}+96q^5+9=(16q^5+3)^2\)
11. \(144y^{10}+24y^5+1=(12y^5+1)^2\)
12. \(y^2-100=(y-10)(y+10)\)