Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121b^{6}-176b^3q+64q^2\)
2. \(a^2-100\)
3. \(16x^{6}+120x^3+225\)
4. \(y^2-14y+49\)
5. \(49b^{8}+70b^4s+25s^2\)
6. \(9s^2-64a^{4}\)
7. \(s^2-24s+144\)
8. \(81s^{8}-4y^2\)
9. \(-196x^2+81\)
10. \(9p^2-4\)
11. \(169p^{10}-416p^5+256\)
12. \(x^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121b^{6}-176b^3q+64q^2=(11b^3-8q)^2\)
2. \(a^2-100=(a-10)(a+10)\)
3. \(16x^{6}+120x^3+225=(4x^3+15)^2\)
4. \(y^2-14y+49=(y-7)^2\)
5. \(49b^{8}+70b^4s+25s^2=(7b^4+5s)^2\)
6. \(9s^2-64a^{4}=(3s-8a^2)(3s+8a^2)\)
7. \(s^2-24s+144=(s-12)^2\)
8. \(81s^{8}-4y^2=(9s^4+2y)(9s^4-2y)\)
9. \(-196x^2+81=(9-14x)(9+14x)\)
10. \(9p^2-4=(3p+2)(3p-2)\)
11. \(169p^{10}-416p^5+256=(13p^5-16)^2\)
12. \(x^2-169=(x-13)(x+13)\)