Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-169\)
2. \(36y^2+84y+49\)
3. \(25x^2+30x+9\)
4. \(81p^{6}-25\)
5. \(225a^2-49\)
6. \(4a^{4}+4a^2s+1s^2\)
7. \(25a^{8}-90a^4b+81b^2\)
8. \(16y^2-81x^{10}\)
9. \(256s^2+32s+1\)
10. \(49s^{4}-169x^2\)
11. \(100p^{8}-60p^4x+9x^2\)
12. \(y^2+4y+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-169=(y-13)(y+13)\)
2. \(36y^2+84y+49=(6y+7)^2\)
3. \(25x^2+30x+9=(5x+3)^2\)
4. \(81p^{6}-25=(9p^3+5)(9p^3-5)\)
5. \(225a^2-49=(15a+7)(15a-7)\)
6. \(4a^{4}+4a^2s+1s^2=(2a^2+s)^2\)
7. \(25a^{8}-90a^4b+81b^2=(5a^4-9b)^2\)
8. \(16y^2-81x^{10}=(4y-9x^5)(4y+9x^5)\)
9. \(256s^2+32s+1=(16s+1)^2\)
10. \(49s^{4}-169x^2=(7s^2+13x)(7s^2-13x)\)
11. \(100p^{8}-60p^4x+9x^2=(10p^4-3x)^2\)
12. \(y^2+4y+4=(y+2)^2\)