Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100b^{14}-49p^2\)
2. \(144p^2-168p+49\)
3. \(9s^2-30s+25\)
4. \(25x^2-36s^{12}\)
5. \(25x^2+130x+169\)
6. \(x^2-81\)
7. \(a^2-18a+81\)
8. \(-25x^2+36\)
9. \(169q^2-49b^{6}\)
10. \(64y^2+16y+1\)
11. \(144q^{4}+24q^2+1\)
12. \(b^2-100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100b^{14}-49p^2=(10b^7+7p)(10b^7-7p)\)
2. \(144p^2-168p+49=(12p-7)^2\)
3. \(9s^2-30s+25=(3s-5)^2\)
4. \(25x^2-36s^{12}=(5x-6s^6)(5x+6s^6)\)
5. \(25x^2+130x+169=(5x+13)^2\)
6. \(x^2-81=(x-9)(x+9)\)
7. \(a^2-18a+81=(a-9)^2\)
8. \(-25x^2+36=(6-5x)(6+5x)\)
9. \(169q^2-49b^{6}=(13q-7b^3)(13q+7b^3)\)
10. \(64y^2+16y+1=(8y+1)^2\)
11. \(144q^{4}+24q^2+1=(12q^2+1)^2\)
12. \(b^2-100=(b-10)(b+10)\)