Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169p^2-1\)
2. \(25p^2+10p+1\)
3. \(81p^2+18p+1\)
4. \(225a^2-330a+121\)
5. \(36a^{10}+84a^5y+49y^2\)
6. \(-4p^2+9\)
7. \(16a^2+24a+9\)
8. \(225a^{6}+120a^3y+16y^2\)
9. \(p^2-100\)
10. \(a^2-16\)
11. \(16y^2-24y+9\)
12. \(y^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169p^2-1=(13p+1)(13p-1)\)
2. \(25p^2+10p+1=(5p+1)^2\)
3. \(81p^2+18p+1=(9p+1)^2\)
4. \(225a^2-330a+121=(15a-11)^2\)
5. \(36a^{10}+84a^5y+49y^2=(6a^5+7y)^2\)
6. \(-4p^2+9=(3-2p)(3+2p)\)
7. \(16a^2+24a+9=(4a+3)^2\)
8. \(225a^{6}+120a^3y+16y^2=(15a^3+4y)^2\)
9. \(p^2-100=(p-10)(p+10)\)
10. \(a^2-16=(a-4)(a+4)\)
11. \(16y^2-24y+9=(4y-3)^2\)
12. \(y^2-121=(y-11)(y+11)\)