Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36y^2-1\)
2. \(-64x^2+225\)
3. \(16s^{4}-120s^2x+225x^2\)
4. \(p^2-22p+121\)
5. \(p^2-49\)
6. \(16b^2+8b+1\)
7. \(-64x^2+1\)
8. \(25a^{8}-90a^4x+81x^2\)
9. \(144b^{10}-49p^2\)
10. \(-196x^2+121\)
11. \(49-9s^{10}\)
12. \(p^2+6p+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36y^2-1=(6y+1)(6y-1)\)
2. \(-64x^2+225=(15-8x)(15+8x)\)
3. \(16s^{4}-120s^2x+225x^2=(4s^2-15x)^2\)
4. \(p^2-22p+121=(p-11)^2\)
5. \(p^2-49=(p+7)(p-7)\)
6. \(16b^2+8b+1=(4b+1)^2\)
7. \(-64x^2+1=(1-8x)(1+8x)\)
8. \(25a^{8}-90a^4x+81x^2=(5a^4-9x)^2\)
9. \(144b^{10}-49p^2=(12b^5+7p)(12b^5-7p)\)
10. \(-196x^2+121=(11-14x)(11+14x)\)
11. \(49-9s^{10}=(7-3s^5)(7+3s^5)\)
12. \(p^2+6p+9=(p+3)^2\)