Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169p^2-312p+144\)
2. \(a^2+2a+1\)
3. \(y^2+28y+196\)
4. \(36x^{4}+12x^2y+1y^2\)
5. \(100a^{4}+20a^2x+1x^2\)
6. \(81a^{6}-198a^3+121\)
7. \(9x^2-64b^{10}\)
8. \(144x^{4}-121\)
9. \(256b^{10}-49\)
10. \(16s^{4}+120s^2+225\)
11. \(s^2-24s+144\)
12. \(-16x^2+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169p^2-312p+144=(13p-12)^2\)
2. \(a^2+2a+1=(a+1)^2\)
3. \(y^2+28y+196=(y+14)^2\)
4. \(36x^{4}+12x^2y+1y^2=(6x^2+y)^2\)
5. \(100a^{4}+20a^2x+1x^2=(10a^2+x)^2\)
6. \(81a^{6}-198a^3+121=(9a^3-11)^2\)
7. \(9x^2-64b^{10}=(3x-8b^5)(3x+8b^5)\)
8. \(144x^{4}-121=(12x^2+11)(12x^2-11)\)
9. \(256b^{10}-49=(16b^5+7)(16b^5-7)\)
10. \(16s^{4}+120s^2+225=(4s^2+15)^2\)
11. \(s^2-24s+144=(s-12)^2\)
12. \(-16x^2+9=(3-4x)(3+4x)\)