Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100q^2-81\)
2. \(144y^{10}-264y^5+121\)
3. \(36q^{10}+60q^5s+25s^2\)
4. \(1-64x^{16}\)
5. \(49y^2-225b^{4}\)
6. \(225p^{8}-196s^2\)
7. \(4s^{4}+52s^2x+169x^2\)
8. \(36p^{4}-1\)
9. \(196a^{4}-169b^2\)
10. \(196s^2-81\)
11. \(49-121a^{10}\)
12. \(x^2-225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100q^2-81=(10q+9)(10q-9)\)
2. \(144y^{10}-264y^5+121=(12y^5-11)^2\)
3. \(36q^{10}+60q^5s+25s^2=(6q^5+5s)^2\)
4. \(1-64x^{16}=(1-8x^8)(1+8x^8)\)
5. \(49y^2-225b^{4}=(7y-15b^2)(7y+15b^2)\)
6. \(225p^{8}-196s^2=(15p^4+14s)(15p^4-14s)\)
7. \(4s^{4}+52s^2x+169x^2=(2s^2+13x)^2\)
8. \(36p^{4}-1=(6p^2+1)(6p^2-1)\)
9. \(196a^{4}-169b^2=(14a^2+13b)(14a^2-13b)\)
10. \(196s^2-81=(14s+9)(14s-9)\)
11. \(49-121a^{10}=(7-11a^5)(7+11a^5)\)
12. \(x^2-225=(x-15)(x+15)\)