Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81x^2-25s^{8}\)
2. \(25y^2-64x^{6}\)
3. \(196a^{10}+28a^5s+1s^2\)
4. \(-256x^2+1\)
5. \(s^2+30s+225\)
6. \(36b^2+132b+121\)
7. \(4b^2+4b+1\)
8. \(256p^{10}+416p^5+169\)
9. \(81a^{10}+126a^5x+49x^2\)
10. \(169b^2-312b+144\)
11. \(64x^{14}-49\)
12. \(b^2-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81x^2-25s^{8}=(9x-5s^4)(9x+5s^4)\)
2. \(25y^2-64x^{6}=(5y-8x^3)(5y+8x^3)\)
3. \(196a^{10}+28a^5s+1s^2=(14a^5+s)^2\)
4. \(-256x^2+1=(1-16x)(1+16x)\)
5. \(s^2+30s+225=(s+15)^2\)
6. \(36b^2+132b+121=(6b+11)^2\)
7. \(4b^2+4b+1=(2b+1)^2\)
8. \(256p^{10}+416p^5+169=(16p^5+13)^2\)
9. \(81a^{10}+126a^5x+49x^2=(9a^5+7x)^2\)
10. \(169b^2-312b+144=(13b-12)^2\)
11. \(64x^{14}-49=(8x^7+7)(8x^7-7)\)
12. \(b^2-25=(b+5)(b-5)\)