Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49y^{6}+28y^3+4\)
2. \(256x^2+224x+49\)
3. \(s^2-100\)
4. \(-36b^2+1\)
5. \(49-64q^{4}\)
6. \(256p^{8}+160p^4+25\)
7. \(16y^2-49\)
8. \(225a^{4}-60a^2+4\)
9. \(b^2+4b+4\)
10. \(a^2+24a+144\)
11. \(36a^{8}+60a^4s+25s^2\)
12. \(100a^{14}-49s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49y^{6}+28y^3+4=(7y^3+2)^2\)
2. \(256x^2+224x+49=(16x+7)^2\)
3. \(s^2-100=(s+10)(s-10)\)
4. \(-36b^2+1=(1-6b)(1+6b)\)
5. \(49-64q^{4}=(7-8q^2)(7+8q^2)\)
6. \(256p^{8}+160p^4+25=(16p^4+5)^2\)
7. \(16y^2-49=(4y+7)(4y-7)\)
8. \(225a^{4}-60a^2+4=(15a^2-2)^2\)
9. \(b^2+4b+4=(b+2)^2\)
10. \(a^2+24a+144=(a+12)^2\)
11. \(36a^{8}+60a^4s+25s^2=(6a^4+5s)^2\)
12. \(100a^{14}-49s^2=(10a^7+7s)(10a^7-7s)\)