Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-100y^2+121\)
2. \(25y^{8}-120y^4+144\)
3. \(196a^{4}+84a^2+9\)
4. \(121y^2+330y+225\)
5. \(121q^{10}+154q^5s+49s^2\)
6. \(25s^{8}+80s^4+64\)
7. \(25x^2-4q^{8}\)
8. \(9y^2-256a^{16}\)
9. \(169p^2-312p+144\)
10. \(b^2-64\)
11. \(225s^{6}+210s^3+49\)
12. \(q^2-8q+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-100y^2+121=(11-10y)(11+10y)\)
2. \(25y^{8}-120y^4+144=(5y^4-12)^2\)
3. \(196a^{4}+84a^2+9=(14a^2+3)^2\)
4. \(121y^2+330y+225=(11y+15)^2\)
5. \(121q^{10}+154q^5s+49s^2=(11q^5+7s)^2\)
6. \(25s^{8}+80s^4+64=(5s^4+8)^2\)
7. \(25x^2-4q^{8}=(5x-2q^4)(5x+2q^4)\)
8. \(9y^2-256a^{16}=(3y-16a^8)(3y+16a^8)\)
9. \(169p^2-312p+144=(13p-12)^2\)
10. \(b^2-64=(b-8)(b+8)\)
11. \(225s^{6}+210s^3+49=(15s^3+7)^2\)
12. \(q^2-8q+16=(q-4)^2\)