Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-14p+49\)
2. \(144x^2-264x+121\)
3. \(a^2-36\)
4. \(49q^{6}-25\)
5. \(a^2-81\)
6. \(-4a^2+25\)
7. \(16x^{4}-24x^2y+9y^2\)
8. \(-256q^2+81\)
9. \(169p^2+312p+144\)
10. \(196q^{8}-364q^4+169\)
11. \(b^2-16\)
12. \(196b^{16}-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-14p+49=(p-7)^2\)
2. \(144x^2-264x+121=(12x-11)^2\)
3. \(a^2-36=(a-6)(a+6)\)
4. \(49q^{6}-25=(7q^3+5)(7q^3-5)\)
5. \(a^2-81=(a+9)(a-9)\)
6. \(-4a^2+25=(5-2a)(5+2a)\)
7. \(16x^{4}-24x^2y+9y^2=(4x^2-3y)^2\)
8. \(-256q^2+81=(9-16q)(9+16q)\)
9. \(169p^2+312p+144=(13p+12)^2\)
10. \(196q^{8}-364q^4+169=(14q^4-13)^2\)
11. \(b^2-16=(b-4)(b+4)\)
12. \(196b^{16}-25=(14b^8+5)(14b^8-5)\)