Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-225\)
2. \(9p^{8}-48p^4x+64x^2\)
3. \(49-225x^{14}\)
4. \(169p^{10}-104p^5+16\)
5. \(25p^{4}-90p^2q+81q^2\)
6. \(s^2-16\)
7. \(169-256y^{12}\)
8. \(196b^{4}+252b^2+81\)
9. \(y^2-20y+100\)
10. \(144s^{4}+24s^2+1\)
11. \(x^2+4x+4\)
12. \(64y^{10}-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-225=(b+15)(b-15)\)
2. \(9p^{8}-48p^4x+64x^2=(3p^4-8x)^2\)
3. \(49-225x^{14}=(7-15x^7)(7+15x^7)\)
4. \(169p^{10}-104p^5+16=(13p^5-4)^2\)
5. \(25p^{4}-90p^2q+81q^2=(5p^2-9q)^2\)
6. \(s^2-16=(s+4)(s-4)\)
7. \(169-256y^{12}=(13-16y^6)(13+16y^6)\)
8. \(196b^{4}+252b^2+81=(14b^2+9)^2\)
9. \(y^2-20y+100=(y-10)^2\)
10. \(144s^{4}+24s^2+1=(12s^2+1)^2\)
11. \(x^2+4x+4=(x+2)^2\)
12. \(64y^{10}-1=(8y^5+1)(8y^5-1)\)