Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-121s^2+144\)
2. \(s^{8}-100y^2\)
3. \(100a^{10}+20a^5b+1b^2\)
4. \(100b^{8}-60b^4q+9q^2\)
5. \(9y^2-256x^{10}\)
6. \(81x^2-72x+16\)
7. \(9q^{6}+6q^3+1\)
8. \(36p^{10}+12p^5+1\)
9. \(196y^{10}+28y^5+1\)
10. \(s^2+10s+25\)
11. \(-9y^2+100\)
12. \(9s^2-16a^{8}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-121s^2+144=(12-11s)(12+11s)\)
2. \(s^{8}-100y^2=(s^4+10y)(s^4-10y)\)
3. \(100a^{10}+20a^5b+1b^2=(10a^5+b)^2\)
4. \(100b^{8}-60b^4q+9q^2=(10b^4-3q)^2\)
5. \(9y^2-256x^{10}=(3y-16x^5)(3y+16x^5)\)
6. \(81x^2-72x+16=(9x-4)^2\)
7. \(9q^{6}+6q^3+1=(3q^3+1)^2\)
8. \(36p^{10}+12p^5+1=(6p^5+1)^2\)
9. \(196y^{10}+28y^5+1=(14y^5+1)^2\)
10. \(s^2+10s+25=(s+5)^2\)
11. \(-9y^2+100=(10-3y)(10+3y)\)
12. \(9s^2-16a^{8}=(3s-4a^4)(3s+4a^4)\)