Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2+26x+169\)
2. \(y^2-9\)
3. \(q^2-64\)
4. \(4s^2-25p^{4}\)
5. \(169x^{10}+26x^5y+1y^2\)
6. \(36p^2-1\)
7. \(64s^{4}+16s^2y+1y^2\)
8. \(256q^2-81\)
9. \(-9p^2+196\)
10. \(q^2-28q+196\)
11. \(16x^{4}-49\)
12. \(49x^{6}+182x^3+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2+26x+169=(x+13)^2\)
2. \(y^2-9=(y-3)(y+3)\)
3. \(q^2-64=(q-8)(q+8)\)
4. \(4s^2-25p^{4}=(2s-5p^2)(2s+5p^2)\)
5. \(169x^{10}+26x^5y+1y^2=(13x^5+y)^2\)
6. \(36p^2-1=(6p+1)(6p-1)\)
7. \(64s^{4}+16s^2y+1y^2=(8s^2+y)^2\)
8. \(256q^2-81=(16q+9)(16q-9)\)
9. \(-9p^2+196=(14-3p)(14+3p)\)
10. \(q^2-28q+196=(q-14)^2\)
11. \(16x^{4}-49=(4x^2+7)(4x^2-7)\)
12. \(49x^{6}+182x^3+169=(7x^3+13)^2\)