Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-100y^2+9\)
2. \(100y^2-9q^{16}\)
3. \(169q^{6}+182q^3x+49x^2\)
4. \(49b^{4}-42b^2+9\)
5. \(p^2+14p+49\)
6. \(b^{4}-4x^2\)
7. \(x^2-4x+4\)
8. \(9x^{8}+6x^4+1\)
9. \(81s^2+252s+196\)
10. \(p^2-26p+169\)
11. \(y^2-36\)
12. \(16a^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-100y^2+9=(3-10y)(3+10y)\)
2. \(100y^2-9q^{16}=(10y-3q^8)(10y+3q^8)\)
3. \(169q^{6}+182q^3x+49x^2=(13q^3+7x)^2\)
4. \(49b^{4}-42b^2+9=(7b^2-3)^2\)
5. \(p^2+14p+49=(p+7)^2\)
6. \(b^{4}-4x^2=(b^2+2x)(b^2-2x)\)
7. \(x^2-4x+4=(x-2)^2\)
8. \(9x^{8}+6x^4+1=(3x^4+1)^2\)
9. \(81s^2+252s+196=(9s+14)^2\)
10. \(p^2-26p+169=(p-13)^2\)
11. \(y^2-36=(y+6)(y-6)\)
12. \(16a^2-49=(4a+7)(4a-7)\)