Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-16b+64\)
2. \(121y^2-220y+100\)
3. \(1-64s^{6}\)
4. \(49y^{10}-182y^5+169\)
5. \(81s^2-4p^{4}\)
6. \(s^2-25\)
7. \(q^2-121\)
8. \(49y^2-144x^{12}\)
9. \(25y^{10}+120y^5+144\)
10. \(p^2-64\)
11. \(4y^2-169\)
12. \(16-121p^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-16b+64=(b-8)^2\)
2. \(121y^2-220y+100=(11y-10)^2\)
3. \(1-64s^{6}=(1-8s^3)(1+8s^3)\)
4. \(49y^{10}-182y^5+169=(7y^5-13)^2\)
5. \(81s^2-4p^{4}=(9s-2p^2)(9s+2p^2)\)
6. \(s^2-25=(s+5)(s-5)\)
7. \(q^2-121=(q-11)(q+11)\)
8. \(49y^2-144x^{12}=(7y-12x^6)(7y+12x^6)\)
9. \(25y^{10}+120y^5+144=(5y^5+12)^2\)
10. \(p^2-64=(p-8)(p+8)\)
11. \(4y^2-169=(2y+13)(2y-13)\)
12. \(16-121p^{12}=(4-11p^6)(4+11p^6)\)