Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256a^{10}+288a^5x+81x^2\)
2. \(-9b^2+121\)
3. \(36y^2-25\)
4. \(x^2-64\)
5. \(s^2+24s+144\)
6. \(256b^{6}-169x^2\)
7. \(4a^{6}+52a^3y+169y^2\)
8. \(81x^2+144x+64\)
9. \(9b^{4}+42b^2s+49s^2\)
10. \(9x^2-100q^{16}\)
11. \(-64b^2+81\)
12. \(100x^{16}-49y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256a^{10}+288a^5x+81x^2=(16a^5+9x)^2\)
2. \(-9b^2+121=(11-3b)(11+3b)\)
3. \(36y^2-25=(6y+5)(6y-5)\)
4. \(x^2-64=(x-8)(x+8)\)
5. \(s^2+24s+144=(s+12)^2\)
6. \(256b^{6}-169x^2=(16b^3+13x)(16b^3-13x)\)
7. \(4a^{6}+52a^3y+169y^2=(2a^3+13y)^2\)
8. \(81x^2+144x+64=(9x+8)^2\)
9. \(9b^{4}+42b^2s+49s^2=(3b^2+7s)^2\)
10. \(9x^2-100q^{16}=(3x-10q^8)(3x+10q^8)\)
11. \(-64b^2+81=(9-8b)(9+8b)\)
12. \(100x^{16}-49y^2=(10x^8+7y)(10x^8-7y)\)