Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16p^{8}-1\)
2. \(25-4y^{4}\)
3. \(1-144s^{4}\)
4. \(100s^{4}-60s^2+9\)
5. \(9p^{8}+42p^4+49\)
6. \(q^2-2q+1\)
7. \(36x^2+12x+1\)
8. \(y^2+4y+4\)
9. \(-25y^2+1\)
10. \(49b^{6}+56b^3+16\)
11. \(36b^2-60b+25\)
12. \(y^2-9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16p^{8}-1=(4p^4+1)(4p^4-1)\)
2. \(25-4y^{4}=(5-2y^2)(5+2y^2)\)
3. \(1-144s^{4}=(1-12s^2)(1+12s^2)\)
4. \(100s^{4}-60s^2+9=(10s^2-3)^2\)
5. \(9p^{8}+42p^4+49=(3p^4+7)^2\)
6. \(q^2-2q+1=(q-1)^2\)
7. \(36x^2+12x+1=(6x+1)^2\)
8. \(y^2+4y+4=(y+2)^2\)
9. \(-25y^2+1=(1-5y)(1+5y)\)
10. \(49b^{6}+56b^3+16=(7b^3+4)^2\)
11. \(36b^2-60b+25=(6b-5)^2\)
12. \(y^2-9=(y-3)(y+3)\)