Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100b^{8}-60b^4+9\)
2. \(256p^2+160p+25\)
3. \(25x^2-144b^{10}\)
4. \(16x^{6}+8x^3+1\)
5. \(36x^{10}+12x^5+1\)
6. \(q^2-25\)
7. \(y^2+22y+121\)
8. \(144s^2-264s+121\)
9. \(64y^{6}-112y^3+49\)
10. \(1-16y^{16}\)
11. \(121-144b^{12}\)
12. \(49-81b^{14}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100b^{8}-60b^4+9=(10b^4-3)^2\)
2. \(256p^2+160p+25=(16p+5)^2\)
3. \(25x^2-144b^{10}=(5x-12b^5)(5x+12b^5)\)
4. \(16x^{6}+8x^3+1=(4x^3+1)^2\)
5. \(36x^{10}+12x^5+1=(6x^5+1)^2\)
6. \(q^2-25=(q-5)(q+5)\)
7. \(y^2+22y+121=(y+11)^2\)
8. \(144s^2-264s+121=(12s-11)^2\)
9. \(64y^{6}-112y^3+49=(8y^3-7)^2\)
10. \(1-16y^{16}=(1-4y^8)(1+4y^8)\)
11. \(121-144b^{12}=(11-12b^6)(11+12b^6)\)
12. \(49-81b^{14}=(7-9b^7)(7+9b^7)\)