Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256s^2-480s+225\)
2. \(9y^{4}+84y^2+196\)
3. \(9b^{4}+60b^2x+100x^2\)
4. \(y^2-144\)
5. \(9-256y^{12}\)
6. \(225p^{8}+210p^4y+49y^2\)
7. \(-121x^2+1\)
8. \(64y^{8}+48y^4+9\)
9. \(25q^2-140q+196\)
10. \(s^2-196\)
11. \(100p^{8}-60p^4y+9y^2\)
12. \(16s^{6}-56s^3+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256s^2-480s+225=(16s-15)^2\)
2. \(9y^{4}+84y^2+196=(3y^2+14)^2\)
3. \(9b^{4}+60b^2x+100x^2=(3b^2+10x)^2\)
4. \(y^2-144=(y-12)(y+12)\)
5. \(9-256y^{12}=(3-16y^6)(3+16y^6)\)
6. \(225p^{8}+210p^4y+49y^2=(15p^4+7y)^2\)
7. \(-121x^2+1=(1-11x)(1+11x)\)
8. \(64y^{8}+48y^4+9=(8y^4+3)^2\)
9. \(25q^2-140q+196=(5q-14)^2\)
10. \(s^2-196=(s+14)(s-14)\)
11. \(100p^{8}-60p^4y+9y^2=(10p^4-3y)^2\)
12. \(16s^{6}-56s^3+49=(4s^3-7)^2\)