Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81s^2-256a^{14}\)
2. \(25s^2+80s+64\)
3. \(x^2+20x+100\)
4. \(36x^2-60x+25\)
5. \(25b^{4}-90b^2s+81s^2\)
6. \(q^2+28q+196\)
7. \(64x^{8}-25\)
8. \(y^2-225\)
9. \(225x^{4}-210x^2+49\)
10. \(81s^2-64q^{4}\)
11. \(225p^{4}-420p^2x+196x^2\)
12. \(p^2-100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81s^2-256a^{14}=(9s-16a^7)(9s+16a^7)\)
2. \(25s^2+80s+64=(5s+8)^2\)
3. \(x^2+20x+100=(x+10)^2\)
4. \(36x^2-60x+25=(6x-5)^2\)
5. \(25b^{4}-90b^2s+81s^2=(5b^2-9s)^2\)
6. \(q^2+28q+196=(q+14)^2\)
7. \(64x^{8}-25=(8x^4+5)(8x^4-5)\)
8. \(y^2-225=(y-15)(y+15)\)
9. \(225x^{4}-210x^2+49=(15x^2-7)^2\)
10. \(81s^2-64q^{4}=(9s-8q^2)(9s+8q^2)\)
11. \(225p^{4}-420p^2x+196x^2=(15p^2-14x)^2\)
12. \(p^2-100=(p+10)(p-10)\)