Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25p^2-36b^{12}\)
2. \(16a^2-56a+49\)
3. \(4b^{8}+4b^4y+1y^2\)
4. \(100q^2-60q+9\)
5. \(64b^2-225\)
6. \(169p^2-1\)
7. \(9s^{8}-16x^2\)
8. \(49q^2-84q+36\)
9. \(144a^2-168a+49\)
10. \(49-36x^{4}\)
11. \(1-169x^{16}\)
12. \(-9p^2+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25p^2-36b^{12}=(5p-6b^6)(5p+6b^6)\)
2. \(16a^2-56a+49=(4a-7)^2\)
3. \(4b^{8}+4b^4y+1y^2=(2b^4+y)^2\)
4. \(100q^2-60q+9=(10q-3)^2\)
5. \(64b^2-225=(8b+15)(8b-15)\)
6. \(169p^2-1=(13p+1)(13p-1)\)
7. \(9s^{8}-16x^2=(3s^4+4x)(3s^4-4x)\)
8. \(49q^2-84q+36=(7q-6)^2\)
9. \(144a^2-168a+49=(12a-7)^2\)
10. \(49-36x^{4}=(7-6x^2)(7+6x^2)\)
11. \(1-169x^{16}=(1-13x^8)(1+13x^8)\)
12. \(-9p^2+100=(10-3p)(10+3p)\)