Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81q^2-49\)
2. \(169a^2-9\)
3. \(169p^2-312p+144\)
4. \(196x^2-308x+121\)
5. \(q^2-16q+64\)
6. \(a^2+30a+225\)
7. \(q^2-12q+36\)
8. \(81y^2-16b^{16}\)
9. \(s^2-16\)
10. \(4a^{4}+44a^2+121\)
11. \(81b^{10}+234b^5q+169q^2\)
12. \(s^2-8s+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81q^2-49=(9q+7)(9q-7)\)
2. \(169a^2-9=(13a+3)(13a-3)\)
3. \(169p^2-312p+144=(13p-12)^2\)
4. \(196x^2-308x+121=(14x-11)^2\)
5. \(q^2-16q+64=(q-8)^2\)
6. \(a^2+30a+225=(a+15)^2\)
7. \(q^2-12q+36=(q-6)^2\)
8. \(81y^2-16b^{16}=(9y-4b^8)(9y+4b^8)\)
9. \(s^2-16=(s+4)(s-4)\)
10. \(4a^{4}+44a^2+121=(2a^2+11)^2\)
11. \(81b^{10}+234b^5q+169q^2=(9b^5+13q)^2\)
12. \(s^2-8s+16=(s-4)^2\)