Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-30y+225\)
2. \(196s^2-25\)
3. \(196p^{10}+420p^5x+225x^2\)
4. \(9p^2-66p+121\)
5. \(196p^2+28p+1\)
6. \(225y^2-49\)
7. \(4b^{4}+4b^2+1\)
8. \(169b^{6}-416b^3+256\)
9. \(36y^{10}+12y^5+1\)
10. \(x^2+22x+121\)
11. \(-25p^2+144\)
12. \(b^2-14b+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-30y+225=(y-15)^2\)
2. \(196s^2-25=(14s+5)(14s-5)\)
3. \(196p^{10}+420p^5x+225x^2=(14p^5+15x)^2\)
4. \(9p^2-66p+121=(3p-11)^2\)
5. \(196p^2+28p+1=(14p+1)^2\)
6. \(225y^2-49=(15y+7)(15y-7)\)
7. \(4b^{4}+4b^2+1=(2b^2+1)^2\)
8. \(169b^{6}-416b^3+256=(13b^3-16)^2\)
9. \(36y^{10}+12y^5+1=(6y^5+1)^2\)
10. \(x^2+22x+121=(x+11)^2\)
11. \(-25p^2+144=(12-5p)(12+5p)\)
12. \(b^2-14b+49=(b-7)^2\)