Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121a^{6}+88a^3x+16x^2\)
2. \(121b^2-49\)
3. \(x^2-64\)
4. \(a^2-225\)
5. \(p^2-26p+169\)
6. \(4b^{4}+4b^2y+1y^2\)
7. \(9a^{16}-169x^2\)
8. \(16y^{6}-1\)
9. \(121b^{4}+44b^2y+4y^2\)
10. \(p^2-64\)
11. \(p^2-1\)
12. \(25a^{14}-64y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121a^{6}+88a^3x+16x^2=(11a^3+4x)^2\)
2. \(121b^2-49=(11b+7)(11b-7)\)
3. \(x^2-64=(x+8)(x-8)\)
4. \(a^2-225=(a+15)(a-15)\)
5. \(p^2-26p+169=(p-13)^2\)
6. \(4b^{4}+4b^2y+1y^2=(2b^2+y)^2\)
7. \(9a^{16}-169x^2=(3a^8+13x)(3a^8-13x)\)
8. \(16y^{6}-1=(4y^3+1)(4y^3-1)\)
9. \(121b^{4}+44b^2y+4y^2=(11b^2+2y)^2\)
10. \(p^2-64=(p-8)(p+8)\)
11. \(p^2-1=(p+1)(p-1)\)
12. \(25a^{14}-64y^2=(5a^7+8y)(5a^7-8y)\)