Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169s^2-52s+4\)
2. \(49p^2+14p+1\)
3. \(49a^{6}-140a^3s+100s^2\)
4. \(x^2-81\)
5. \(9a^{10}+48a^5+64\)
6. \(x^{12}-225y^2\)
7. \(81q^2-234q+169\)
8. \(4x^2-9q^{4}\)
9. \(-81b^2+49\)
10. \(9b^{8}+24b^4p+16p^2\)
11. \(9p^{12}-16\)
12. \(25p^2-169a^{4}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169s^2-52s+4=(13s-2)^2\)
2. \(49p^2+14p+1=(7p+1)^2\)
3. \(49a^{6}-140a^3s+100s^2=(7a^3-10s)^2\)
4. \(x^2-81=(x-9)(x+9)\)
5. \(9a^{10}+48a^5+64=(3a^5+8)^2\)
6. \(x^{12}-225y^2=(x^6+15y)(x^6-15y)\)
7. \(81q^2-234q+169=(9q-13)^2\)
8. \(4x^2-9q^{4}=(2x-3q^2)(2x+3q^2)\)
9. \(-81b^2+49=(7-9b)(7+9b)\)
10. \(9b^{8}+24b^4p+16p^2=(3b^4+4p)^2\)
11. \(9p^{12}-16=(3p^6+4)(3p^6-4)\)
12. \(25p^2-169a^{4}=(5p-13a^2)(5p+13a^2)\)