Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-18s+81\)
2. \(64x^{16}-81\)
3. \(x^2-10x+25\)
4. \(225p^2+330p+121\)
5. \(-4a^2+225\)
6. \(9s^2-30s+25\)
7. \(s^2-4\)
8. \(-100b^2+49\)
9. \(9q^2-100b^{6}\)
10. \(-121y^2+225\)
11. \(4p^2+60p+225\)
12. \(4s^2+4s+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-18s+81=(s-9)^2\)
2. \(64x^{16}-81=(8x^8+9)(8x^8-9)\)
3. \(x^2-10x+25=(x-5)^2\)
4. \(225p^2+330p+121=(15p+11)^2\)
5. \(-4a^2+225=(15-2a)(15+2a)\)
6. \(9s^2-30s+25=(3s-5)^2\)
7. \(s^2-4=(s-2)(s+2)\)
8. \(-100b^2+49=(7-10b)(7+10b)\)
9. \(9q^2-100b^{6}=(3q-10b^3)(3q+10b^3)\)
10. \(-121y^2+225=(15-11y)(15+11y)\)
11. \(4p^2+60p+225=(2p+15)^2\)
12. \(4s^2+4s+1=(2s+1)^2\)