Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-12b+36\)
2. \(q^2-196\)
3. \(36p^2+12p+1\)
4. \(4s^{6}-81x^2\)
5. \(49q^2-64a^{10}\)
6. \(64s^{16}-9y^2\)
7. \(q^2-121\)
8. \(25p^2+20p+4\)
9. \(25x^{10}-4y^2\)
10. \(196b^{6}+364b^3x+169x^2\)
11. \(25x^{6}-140x^3y+196y^2\)
12. \(64q^{6}+144q^3+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-12b+36=(b-6)^2\)
2. \(q^2-196=(q+14)(q-14)\)
3. \(36p^2+12p+1=(6p+1)^2\)
4. \(4s^{6}-81x^2=(2s^3+9x)(2s^3-9x)\)
5. \(49q^2-64a^{10}=(7q-8a^5)(7q+8a^5)\)
6. \(64s^{16}-9y^2=(8s^8+3y)(8s^8-3y)\)
7. \(q^2-121=(q-11)(q+11)\)
8. \(25p^2+20p+4=(5p+2)^2\)
9. \(25x^{10}-4y^2=(5x^5+2y)(5x^5-2y)\)
10. \(196b^{6}+364b^3x+169x^2=(14b^3+13x)^2\)
11. \(25x^{6}-140x^3y+196y^2=(5x^3-14y)^2\)
12. \(64q^{6}+144q^3+81=(8q^3+9)^2\)