Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-169\)
2. \(p^2+6p+9\)
3. \(4y^2-225p^{4}\)
4. \(4q^{10}+12q^5+9\)
5. \(b^2-81\)
6. \(s^2-14s+49\)
7. \(256x^{14}-225\)
8. \(49p^{8}-36q^2\)
9. \(16x^{4}-88x^2y+121y^2\)
10. \(49b^{10}-144x^2\)
11. \(p^2-49\)
12. \(4q^2-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-169=(b-13)(b+13)\)
2. \(p^2+6p+9=(p+3)^2\)
3. \(4y^2-225p^{4}=(2y-15p^2)(2y+15p^2)\)
4. \(4q^{10}+12q^5+9=(2q^5+3)^2\)
5. \(b^2-81=(b-9)(b+9)\)
6. \(s^2-14s+49=(s-7)^2\)
7. \(256x^{14}-225=(16x^7+15)(16x^7-15)\)
8. \(49p^{8}-36q^2=(7p^4+6q)(7p^4-6q)\)
9. \(16x^{4}-88x^2y+121y^2=(4x^2-11y)^2\)
10. \(49b^{10}-144x^2=(7b^5+12x)(7b^5-12x)\)
11. \(p^2-49=(p-7)(p+7)\)
12. \(4q^2-25=(2q+5)(2q-5)\)