Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-20x+100\)
2. \(4x^2+4x+1\)
3. \(1-36y^{4}\)
4. \(-100y^2+121\)
5. \(49s^2+140s+100\)
6. \(64y^2-169q^{16}\)
7. \(9s^{4}+24s^2x+16x^2\)
8. \(64s^2+144s+81\)
9. \(25x^{4}-81\)
10. \(36p^{6}-60p^3y+25y^2\)
11. \(-256q^2+9\)
12. \(25p^{8}-70p^4s+49s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-20x+100=(x-10)^2\)
2. \(4x^2+4x+1=(2x+1)^2\)
3. \(1-36y^{4}=(1-6y^2)(1+6y^2)\)
4. \(-100y^2+121=(11-10y)(11+10y)\)
5. \(49s^2+140s+100=(7s+10)^2\)
6. \(64y^2-169q^{16}=(8y-13q^8)(8y+13q^8)\)
7. \(9s^{4}+24s^2x+16x^2=(3s^2+4x)^2\)
8. \(64s^2+144s+81=(8s+9)^2\)
9. \(25x^{4}-81=(5x^2+9)(5x^2-9)\)
10. \(36p^{6}-60p^3y+25y^2=(6p^3-5y)^2\)
11. \(-256q^2+9=(3-16q)(3+16q)\)
12. \(25p^{8}-70p^4s+49s^2=(5p^4-7s)^2\)