Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9y^{8}+6y^4+1\)
2. \(x^2-100\)
3. \(100a^{8}-60a^4+9\)
4. \(25-49x^{16}\)
5. \(256p^{4}-480p^2+225\)
6. \(64y^2-121\)
7. \(p^{6}-9x^2\)
8. \(64q^{4}+208q^2+169\)
9. \(225p^{10}+330p^5x+121x^2\)
10. \(36y^2-132y+121\)
11. \(s^2-25\)
12. \(s^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9y^{8}+6y^4+1=(3y^4+1)^2\)
2. \(x^2-100=(x+10)(x-10)\)
3. \(100a^{8}-60a^4+9=(10a^4-3)^2\)
4. \(25-49x^{16}=(5-7x^8)(5+7x^8)\)
5. \(256p^{4}-480p^2+225=(16p^2-15)^2\)
6. \(64y^2-121=(8y+11)(8y-11)\)
7. \(p^{6}-9x^2=(p^3+3x)(p^3-3x)\)
8. \(64q^{4}+208q^2+169=(8q^2+13)^2\)
9. \(225p^{10}+330p^5x+121x^2=(15p^5+11x)^2\)
10. \(36y^2-132y+121=(6y-11)^2\)
11. \(s^2-25=(s+5)(s-5)\)
12. \(s^2-169=(s-13)(s+13)\)