Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-4\)
2. \(121s^{6}-110s^3y+25y^2\)
3. \(-49p^2+225\)
4. \(36a^{10}-60a^5s+25s^2\)
5. \(9a^2-100\)
6. \(25p^{4}-40p^2y+16y^2\)
7. \(169b^{8}+208b^4+64\)
8. \(-16b^2+121\)
9. \(y^2-81\)
10. \(144x^2-264x+121\)
11. \(4b^{8}-25\)
12. \(-81a^2+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-4=(b+2)(b-2)\)
2. \(121s^{6}-110s^3y+25y^2=(11s^3-5y)^2\)
3. \(-49p^2+225=(15-7p)(15+7p)\)
4. \(36a^{10}-60a^5s+25s^2=(6a^5-5s)^2\)
5. \(9a^2-100=(3a+10)(3a-10)\)
6. \(25p^{4}-40p^2y+16y^2=(5p^2-4y)^2\)
7. \(169b^{8}+208b^4+64=(13b^4+8)^2\)
8. \(-16b^2+121=(11-4b)(11+4b)\)
9. \(y^2-81=(y-9)(y+9)\)
10. \(144x^2-264x+121=(12x-11)^2\)
11. \(4b^{8}-25=(2b^4+5)(2b^4-5)\)
12. \(-81a^2+16=(4-9a)(4+9a)\)