Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121q^2+308q+196\)
2. \(-64a^2+81\)
3. \(x^2-64\)
4. \(x^2-22x+121\)
5. \(b^2-100\)
6. \(25x^{6}-140x^3+196\)
7. \(36b^{8}-60b^4p+25p^2\)
8. \(49p^{4}-140p^2+100\)
9. \(25x^2-36p^{8}\)
10. \(x^2+20x+100\)
11. \(4a^2-49\)
12. \(x^{8}-225y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121q^2+308q+196=(11q+14)^2\)
2. \(-64a^2+81=(9-8a)(9+8a)\)
3. \(x^2-64=(x+8)(x-8)\)
4. \(x^2-22x+121=(x-11)^2\)
5. \(b^2-100=(b-10)(b+10)\)
6. \(25x^{6}-140x^3+196=(5x^3-14)^2\)
7. \(36b^{8}-60b^4p+25p^2=(6b^4-5p)^2\)
8. \(49p^{4}-140p^2+100=(7p^2-10)^2\)
9. \(25x^2-36p^{8}=(5x-6p^4)(5x+6p^4)\)
10. \(x^2+20x+100=(x+10)^2\)
11. \(4a^2-49=(2a+7)(2a-7)\)
12. \(x^{8}-225y^2=(x^4+15y)(x^4-15y)\)