Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-81\)
2. \(121s^{4}-176s^2x+64x^2\)
3. \(4x^{12}-25\)
4. \(9x^{4}-16y^2\)
5. \(9x^2-84x+196\)
6. \(x^2-49\)
7. \(1-25s^{16}\)
8. \(16b^{8}-120b^4q+225q^2\)
9. \(169x^{8}-25\)
10. \(-49q^2+100\)
11. \(36s^{8}+12s^4+1\)
12. \(144b^{10}+120b^5x+25x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-81=(s+9)(s-9)\)
2. \(121s^{4}-176s^2x+64x^2=(11s^2-8x)^2\)
3. \(4x^{12}-25=(2x^6+5)(2x^6-5)\)
4. \(9x^{4}-16y^2=(3x^2+4y)(3x^2-4y)\)
5. \(9x^2-84x+196=(3x-14)^2\)
6. \(x^2-49=(x+7)(x-7)\)
7. \(1-25s^{16}=(1-5s^8)(1+5s^8)\)
8. \(16b^{8}-120b^4q+225q^2=(4b^4-15q)^2\)
9. \(169x^{8}-25=(13x^4+5)(13x^4-5)\)
10. \(-49q^2+100=(10-7q)(10+7q)\)
11. \(36s^{8}+12s^4+1=(6s^4+1)^2\)
12. \(144b^{10}+120b^5x+25x^2=(12b^5+5x)^2\)