Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9-49x^{16}\)
2. \(196p^{10}+140p^5+25\)
3. \(9q^{4}-66q^2+121\)
4. \(4y^2+4y+1\)
5. \(16y^2+24y+9\)
6. \(196x^2+28x+1\)
7. \(196p^{6}-121x^2\)
8. \(b^2-26b+169\)
9. \(16a^{4}+56a^2x+49x^2\)
10. \(a^2+24a+144\)
11. \(s^2-24s+144\)
12. \(81s^{6}-234s^3x+169x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9-49x^{16}=(3-7x^8)(3+7x^8)\)
2. \(196p^{10}+140p^5+25=(14p^5+5)^2\)
3. \(9q^{4}-66q^2+121=(3q^2-11)^2\)
4. \(4y^2+4y+1=(2y+1)^2\)
5. \(16y^2+24y+9=(4y+3)^2\)
6. \(196x^2+28x+1=(14x+1)^2\)
7. \(196p^{6}-121x^2=(14p^3+11x)(14p^3-11x)\)
8. \(b^2-26b+169=(b-13)^2\)
9. \(16a^{4}+56a^2x+49x^2=(4a^2+7x)^2\)
10. \(a^2+24a+144=(a+12)^2\)
11. \(s^2-24s+144=(s-12)^2\)
12. \(81s^{6}-234s^3x+169x^2=(9s^3-13x)^2\)