Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256y^{8}-160y^4+25\)
2. \(b^2+16b+64\)
3. \(100p^{10}-260p^5x+169x^2\)
4. \(4q^{4}+4q^2+1\)
5. \(16s^{6}-24s^3+9\)
6. \(1-81p^{14}\)
7. \(196-169a^{8}\)
8. \(-81s^2+16\)
9. \(169p^{10}-130p^5+25\)
10. \(169-49x^{4}\)
11. \(s^2-26s+169\)
12. \(256s^2-160s+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256y^{8}-160y^4+25=(16y^4-5)^2\)
2. \(b^2+16b+64=(b+8)^2\)
3. \(100p^{10}-260p^5x+169x^2=(10p^5-13x)^2\)
4. \(4q^{4}+4q^2+1=(2q^2+1)^2\)
5. \(16s^{6}-24s^3+9=(4s^3-3)^2\)
6. \(1-81p^{14}=(1-9p^7)(1+9p^7)\)
7. \(196-169a^{8}=(14-13a^4)(14+13a^4)\)
8. \(-81s^2+16=(4-9s)(4+9s)\)
9. \(169p^{10}-130p^5+25=(13p^5-5)^2\)
10. \(169-49x^{4}=(13-7x^2)(13+7x^2)\)
11. \(s^2-26s+169=(s-13)^2\)
12. \(256s^2-160s+25=(16s-5)^2\)