Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+30s+225\)
2. \(81a^2-100\)
3. \(9-4a^{16}\)
4. \(9s^{6}+42s^3y+49y^2\)
5. \(-16a^2+169\)
6. \(64q^2+112q+49\)
7. \(a^2-81\)
8. \(256p^{16}-81\)
9. \(64a^{6}-25q^2\)
10. \(49a^{4}+154a^2x+121x^2\)
11. \(a^2-1\)
12. \(256p^{6}-169q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+30s+225=(s+15)^2\)
2. \(81a^2-100=(9a+10)(9a-10)\)
3. \(9-4a^{16}=(3-2a^8)(3+2a^8)\)
4. \(9s^{6}+42s^3y+49y^2=(3s^3+7y)^2\)
5. \(-16a^2+169=(13-4a)(13+4a)\)
6. \(64q^2+112q+49=(8q+7)^2\)
7. \(a^2-81=(a+9)(a-9)\)
8. \(256p^{16}-81=(16p^8+9)(16p^8-9)\)
9. \(64a^{6}-25q^2=(8a^3+5q)(8a^3-5q)\)
10. \(49a^{4}+154a^2x+121x^2=(7a^2+11x)^2\)
11. \(a^2-1=(a-1)(a+1)\)
12. \(256p^{6}-169q^2=(16p^3+13q)(16p^3-13q)\)