Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100y^2-60y+9\)
2. \(25b^{8}-40b^4s+16s^2\)
3. \(169-225q^{8}\)
4. \(144s^{10}-264s^5+121\)
5. \(49s^{6}-42s^3x+9x^2\)
6. \(64x^2-81\)
7. \(169x^{10}+208x^5+64\)
8. \(p^2-1\)
9. \(b^2-81\)
10. \(4p^2+44p+121\)
11. \(-9s^2+100\)
12. \(25y^2-121q^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100y^2-60y+9=(10y-3)^2\)
2. \(25b^{8}-40b^4s+16s^2=(5b^4-4s)^2\)
3. \(169-225q^{8}=(13-15q^4)(13+15q^4)\)
4. \(144s^{10}-264s^5+121=(12s^5-11)^2\)
5. \(49s^{6}-42s^3x+9x^2=(7s^3-3x)^2\)
6. \(64x^2-81=(8x+9)(8x-9)\)
7. \(169x^{10}+208x^5+64=(13x^5+8)^2\)
8. \(p^2-1=(p+1)(p-1)\)
9. \(b^2-81=(b+9)(b-9)\)
10. \(4p^2+44p+121=(2p+11)^2\)
11. \(-9s^2+100=(10-3s)(10+3s)\)
12. \(25y^2-121q^{6}=(5y-11q^3)(5y+11q^3)\)