Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169b^{8}-390b^4+225\)
2. \(a^2-8a+16\)
3. \(121x^{10}-100\)
4. \(s^2-100\)
5. \(9q^{10}-48q^5+64\)
6. \(x^2-144\)
7. \(s^2-12s+36\)
8. \(100p^{16}-169q^2\)
9. \(-169p^2+1\)
10. \(36q^{8}-132q^4y+121y^2\)
11. \(y^2+14y+49\)
12. \(y^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169b^{8}-390b^4+225=(13b^4-15)^2\)
2. \(a^2-8a+16=(a-4)^2\)
3. \(121x^{10}-100=(11x^5+10)(11x^5-10)\)
4. \(s^2-100=(s+10)(s-10)\)
5. \(9q^{10}-48q^5+64=(3q^5-8)^2\)
6. \(x^2-144=(x-12)(x+12)\)
7. \(s^2-12s+36=(s-6)^2\)
8. \(100p^{16}-169q^2=(10p^8+13q)(10p^8-13q)\)
9. \(-169p^2+1=(1-13p)(1+13p)\)
10. \(36q^{8}-132q^4y+121y^2=(6q^4-11y)^2\)
11. \(y^2+14y+49=(y+7)^2\)
12. \(y^2-49=(y+7)(y-7)\)