Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-196\)
2. \(64y^{4}-112y^2+49\)
3. \(256b^{8}-288b^4y+81y^2\)
4. \(49p^2+28p+4\)
5. \(-225b^2+196\)
6. \(x^2-49\)
7. \(64b^{10}+112b^5+49\)
8. \(-36p^2+49\)
9. \(25x^2-16\)
10. \(s^2-81\)
11. \(169-144s^{8}\)
12. \(a^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-196=(y+14)(y-14)\)
2. \(64y^{4}-112y^2+49=(8y^2-7)^2\)
3. \(256b^{8}-288b^4y+81y^2=(16b^4-9y)^2\)
4. \(49p^2+28p+4=(7p+2)^2\)
5. \(-225b^2+196=(14-15b)(14+15b)\)
6. \(x^2-49=(x-7)(x+7)\)
7. \(64b^{10}+112b^5+49=(8b^5+7)^2\)
8. \(-36p^2+49=(7-6p)(7+6p)\)
9. \(25x^2-16=(5x+4)(5x-4)\)
10. \(s^2-81=(s+9)(s-9)\)
11. \(169-144s^{8}=(13-12s^4)(13+12s^4)\)
12. \(a^2-64=(a+8)(a-8)\)