Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49s^{10}+182s^5x+169x^2\)
2. \(1-9s^{6}\)
3. \(q^2-81\)
4. \(256p^{14}-225\)
5. \(25-256s^{6}\)
6. \(s^2-100\)
7. \(q^2-169\)
8. \(36b^{4}-132b^2y+121y^2\)
9. \(25b^{6}-70b^3q+49q^2\)
10. \(49a^{4}+84a^2s+36s^2\)
11. \(169p^{8}-36x^2\)
12. \(a^2-9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49s^{10}+182s^5x+169x^2=(7s^5+13x)^2\)
2. \(1-9s^{6}=(1-3s^3)(1+3s^3)\)
3. \(q^2-81=(q-9)(q+9)\)
4. \(256p^{14}-225=(16p^7+15)(16p^7-15)\)
5. \(25-256s^{6}=(5-16s^3)(5+16s^3)\)
6. \(s^2-100=(s-10)(s+10)\)
7. \(q^2-169=(q-13)(q+13)\)
8. \(36b^{4}-132b^2y+121y^2=(6b^2-11y)^2\)
9. \(25b^{6}-70b^3q+49q^2=(5b^3-7q)^2\)
10. \(49a^{4}+84a^2s+36s^2=(7a^2+6s)^2\)
11. \(169p^{8}-36x^2=(13p^4+6x)(13p^4-6x)\)
12. \(a^2-9=(a-3)(a+3)\)