Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-36\)
2. \(25p^{6}-140p^3+196\)
3. \(256x^2+288x+81\)
4. \(a^2-144\)
5. \(a^2+14a+49\)
6. \(49b^{6}-182b^3y+169y^2\)
7. \(49b^{6}+210b^3+225\)
8. \(196b^{10}+420b^5x+225x^2\)
9. \(16y^{6}+40y^3+25\)
10. \(121y^2-220y+100\)
11. \(4b^{10}+4b^5x+1x^2\)
12. \(16s^{6}-56s^3y+49y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-36=(b+6)(b-6)\)
2. \(25p^{6}-140p^3+196=(5p^3-14)^2\)
3. \(256x^2+288x+81=(16x+9)^2\)
4. \(a^2-144=(a-12)(a+12)\)
5. \(a^2+14a+49=(a+7)^2\)
6. \(49b^{6}-182b^3y+169y^2=(7b^3-13y)^2\)
7. \(49b^{6}+210b^3+225=(7b^3+15)^2\)
8. \(196b^{10}+420b^5x+225x^2=(14b^5+15x)^2\)
9. \(16y^{6}+40y^3+25=(4y^3+5)^2\)
10. \(121y^2-220y+100=(11y-10)^2\)
11. \(4b^{10}+4b^5x+1x^2=(2b^5+x)^2\)
12. \(16s^{6}-56s^3y+49y^2=(4s^3-7y)^2\)