Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169x^2-225\)
2. \(-16p^2+25\)
3. \(y^2+14y+49\)
4. \(q^2-16q+64\)
5. \(-4b^2+1\)
6. \(16y^{6}-88y^3+121\)
7. \(a^2-14a+49\)
8. \(225b^{8}-4y^2\)
9. \(36q^{10}-132q^5+121\)
10. \(121b^{6}-154b^3y+49y^2\)
11. \(36a^{6}-25\)
12. \(x^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169x^2-225=(13x+15)(13x-15)\)
2. \(-16p^2+25=(5-4p)(5+4p)\)
3. \(y^2+14y+49=(y+7)^2\)
4. \(q^2-16q+64=(q-8)^2\)
5. \(-4b^2+1=(1-2b)(1+2b)\)
6. \(16y^{6}-88y^3+121=(4y^3-11)^2\)
7. \(a^2-14a+49=(a-7)^2\)
8. \(225b^{8}-4y^2=(15b^4+2y)(15b^4-2y)\)
9. \(36q^{10}-132q^5+121=(6q^5-11)^2\)
10. \(121b^{6}-154b^3y+49y^2=(11b^3-7y)^2\)
11. \(36a^{6}-25=(6a^3+5)(6a^3-5)\)
12. \(x^2-169=(x-13)(x+13)\)