Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9y^2-30y+25\)
2. \(x^2-81\)
3. \(256b^{4}-169y^2\)
4. \(169x^{6}-52x^3y+4y^2\)
5. \(p^2-26p+169\)
6. \(121x^2-44x+4\)
7. \(256b^{10}+480b^5+225\)
8. \(64q^{8}-81\)
9. \(100p^{4}-9\)
10. \(49s^{12}-225x^2\)
11. \(36a^{8}+12a^4b+1b^2\)
12. \(16p^{8}-9x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9y^2-30y+25=(3y-5)^2\)
2. \(x^2-81=(x-9)(x+9)\)
3. \(256b^{4}-169y^2=(16b^2+13y)(16b^2-13y)\)
4. \(169x^{6}-52x^3y+4y^2=(13x^3-2y)^2\)
5. \(p^2-26p+169=(p-13)^2\)
6. \(121x^2-44x+4=(11x-2)^2\)
7. \(256b^{10}+480b^5+225=(16b^5+15)^2\)
8. \(64q^{8}-81=(8q^4+9)(8q^4-9)\)
9. \(100p^{4}-9=(10p^2+3)(10p^2-3)\)
10. \(49s^{12}-225x^2=(7s^6+15x)(7s^6-15x)\)
11. \(36a^{8}+12a^4b+1b^2=(6a^4+b)^2\)
12. \(16p^{8}-9x^2=(4p^4+3x)(4p^4-3x)\)