Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16-9a^{14}\)
2. \(p^2-121\)
3. \(4y^2-49\)
4. \(4a^{6}+4a^3s+1s^2\)
5. \(169a^{4}+286a^2+121\)
6. \(y^2-144\)
7. \(144p^{4}+120p^2s+25s^2\)
8. \(x^2+6x+9\)
9. \(100p^2-180p+81\)
10. \(-144p^2+25\)
11. \(9x^{10}+48x^5y+64y^2\)
12. \(p^2+24p+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16-9a^{14}=(4-3a^7)(4+3a^7)\)
2. \(p^2-121=(p+11)(p-11)\)
3. \(4y^2-49=(2y+7)(2y-7)\)
4. \(4a^{6}+4a^3s+1s^2=(2a^3+s)^2\)
5. \(169a^{4}+286a^2+121=(13a^2+11)^2\)
6. \(y^2-144=(y-12)(y+12)\)
7. \(144p^{4}+120p^2s+25s^2=(12p^2+5s)^2\)
8. \(x^2+6x+9=(x+3)^2\)
9. \(100p^2-180p+81=(10p-9)^2\)
10. \(-144p^2+25=(5-12p)(5+12p)\)
11. \(9x^{10}+48x^5y+64y^2=(3x^5+8y)^2\)
12. \(p^2+24p+144=(p+12)^2\)