Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64a^{10}-112a^5y+49y^2\)
2. \(-121q^2+169\)
3. \(b^2-26b+169\)
4. \(b^2-16\)
5. \(y^2-10y+25\)
6. \(169x^2-390x+225\)
7. \(16p^{12}-9q^2\)
8. \(-225y^2+49\)
9. \(q^2-64\)
10. \(9b^2-25\)
11. \(81a^{4}-234a^2x+169x^2\)
12. \(64q^2+48q+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64a^{10}-112a^5y+49y^2=(8a^5-7y)^2\)
2. \(-121q^2+169=(13-11q)(13+11q)\)
3. \(b^2-26b+169=(b-13)^2\)
4. \(b^2-16=(b+4)(b-4)\)
5. \(y^2-10y+25=(y-5)^2\)
6. \(169x^2-390x+225=(13x-15)^2\)
7. \(16p^{12}-9q^2=(4p^6+3q)(4p^6-3q)\)
8. \(-225y^2+49=(7-15y)(7+15y)\)
9. \(q^2-64=(q-8)(q+8)\)
10. \(9b^2-25=(3b+5)(3b-5)\)
11. \(81a^{4}-234a^2x+169x^2=(9a^2-13x)^2\)
12. \(64q^2+48q+9=(8q+3)^2\)