Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64a^{10}+48a^5y+9y^2\)
2. \(256q^{8}+288q^4y+81y^2\)
3. \(x^2+30x+225\)
4. \(196a^{8}+420a^4+225\)
5. \(16p^2-81a^{6}\)
6. \(196a^{10}+364a^5+169\)
7. \(s^2-25\)
8. \(121s^2-144b^{6}\)
9. \(81x^2-s^{6}\)
10. \(x^2-12x+36\)
11. \(64x^{10}+208x^5y+169y^2\)
12. \(9p^{10}-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64a^{10}+48a^5y+9y^2=(8a^5+3y)^2\)
2. \(256q^{8}+288q^4y+81y^2=(16q^4+9y)^2\)
3. \(x^2+30x+225=(x+15)^2\)
4. \(196a^{8}+420a^4+225=(14a^4+15)^2\)
5. \(16p^2-81a^{6}=(4p-9a^3)(4p+9a^3)\)
6. \(196a^{10}+364a^5+169=(14a^5+13)^2\)
7. \(s^2-25=(s+5)(s-5)\)
8. \(121s^2-144b^{6}=(11s-12b^3)(11s+12b^3)\)
9. \(81x^2-s^{6}=(9x-s^3)(9x+s^3)\)
10. \(x^2-12x+36=(x-6)^2\)
11. \(64x^{10}+208x^5y+169y^2=(8x^5+13y)^2\)
12. \(9p^{10}-49=(3p^5+7)(3p^5-7)\)