Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9y^2+30y+25\)
2. \(9p^2-1\)
3. \(169a^2-156a+36\)
4. \(16s^{6}-25x^2\)
5. \(169a^{8}+78a^4b+9b^2\)
6. \(196b^{8}+28b^4x+1x^2\)
7. \(a^2+20a+100\)
8. \(-256p^2+81\)
9. \(81b^2-198b+121\)
10. \(64a^{8}-112a^4+49\)
11. \(a^2-64\)
12. \(x^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9y^2+30y+25=(3y+5)^2\)
2. \(9p^2-1=(3p+1)(3p-1)\)
3. \(169a^2-156a+36=(13a-6)^2\)
4. \(16s^{6}-25x^2=(4s^3+5x)(4s^3-5x)\)
5. \(169a^{8}+78a^4b+9b^2=(13a^4+3b)^2\)
6. \(196b^{8}+28b^4x+1x^2=(14b^4+x)^2\)
7. \(a^2+20a+100=(a+10)^2\)
8. \(-256p^2+81=(9-16p)(9+16p)\)
9. \(81b^2-198b+121=(9b-11)^2\)
10. \(64a^{8}-112a^4+49=(8a^4-7)^2\)
11. \(a^2-64=(a-8)(a+8)\)
12. \(x^2-121=(x-11)(x+11)\)