Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64x^{16}-225\)
2. \(196b^{4}+28b^2+1\)
3. \(s^2-14s+49\)
4. \(4s^{8}+60s^4+225\)
5. \(16q^2-81p^{6}\)
6. \(a^2+14a+49\)
7. \(36s^2+84s+49\)
8. \(225b^2-121a^{14}\)
9. \(225y^2+120y+16\)
10. \(a^2-16\)
11. \(y^2-121\)
12. \(25a^{6}-20a^3y+4y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64x^{16}-225=(8x^8+15)(8x^8-15)\)
2. \(196b^{4}+28b^2+1=(14b^2+1)^2\)
3. \(s^2-14s+49=(s-7)^2\)
4. \(4s^{8}+60s^4+225=(2s^4+15)^2\)
5. \(16q^2-81p^{6}=(4q-9p^3)(4q+9p^3)\)
6. \(a^2+14a+49=(a+7)^2\)
7. \(36s^2+84s+49=(6s+7)^2\)
8. \(225b^2-121a^{14}=(15b-11a^7)(15b+11a^7)\)
9. \(225y^2+120y+16=(15y+4)^2\)
10. \(a^2-16=(a+4)(a-4)\)
11. \(y^2-121=(y+11)(y-11)\)
12. \(25a^{6}-20a^3y+4y^2=(5a^3-2y)^2\)