Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25p^2-196b^{10}\)
2. \(x^2+22x+121\)
3. \(100q^{10}-49y^2\)
4. \(81x^2+234x+169\)
5. \(-121y^2+64\)
6. \(s^2-12s+36\)
7. \(a^2-49\)
8. \(b^2-144\)
9. \(-100p^2+121\)
10. \(x^2-169\)
11. \(-64p^2+225\)
12. \(169p^{6}-104p^3y+16y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25p^2-196b^{10}=(5p-14b^5)(5p+14b^5)\)
2. \(x^2+22x+121=(x+11)^2\)
3. \(100q^{10}-49y^2=(10q^5+7y)(10q^5-7y)\)
4. \(81x^2+234x+169=(9x+13)^2\)
5. \(-121y^2+64=(8-11y)(8+11y)\)
6. \(s^2-12s+36=(s-6)^2\)
7. \(a^2-49=(a-7)(a+7)\)
8. \(b^2-144=(b+12)(b-12)\)
9. \(-100p^2+121=(11-10p)(11+10p)\)
10. \(x^2-169=(x-13)(x+13)\)
11. \(-64p^2+225=(15-8p)(15+8p)\)
12. \(169p^{6}-104p^3y+16y^2=(13p^3-4y)^2\)