Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64y^2-80y+25\)
2. \(169s^{6}+78s^3x+9x^2\)
3. \(100a^2+180a+81\)
4. \(-100p^2+49\)
5. \(-36s^2+1\)
6. \(-121y^2+225\)
7. \(121s^2-225a^{4}\)
8. \(y^2-4y+4\)
9. \(s^2-18s+81\)
10. \(25y^{4}+60y^2+36\)
11. \(196x^2-81\)
12. \(169b^2-121a^{8}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64y^2-80y+25=(8y-5)^2\)
2. \(169s^{6}+78s^3x+9x^2=(13s^3+3x)^2\)
3. \(100a^2+180a+81=(10a+9)^2\)
4. \(-100p^2+49=(7-10p)(7+10p)\)
5. \(-36s^2+1=(1-6s)(1+6s)\)
6. \(-121y^2+225=(15-11y)(15+11y)\)
7. \(121s^2-225a^{4}=(11s-15a^2)(11s+15a^2)\)
8. \(y^2-4y+4=(y-2)^2\)
9. \(s^2-18s+81=(s-9)^2\)
10. \(25y^{4}+60y^2+36=(5y^2+6)^2\)
11. \(196x^2-81=(14x+9)(14x-9)\)
12. \(169b^2-121a^{8}=(13b-11a^4)(13b+11a^4)\)