Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-64q^2+25\)
2. \(49b^{8}+70b^4x+25x^2\)
3. \(225a^{10}-60a^5y+4y^2\)
4. \(225a^2+120a+16\)
5. \(64q^2+16q+1\)
6. \(b^2-18b+81\)
7. \(25p^{10}+10p^5+1\)
8. \(256y^2+160y+25\)
9. \(q^2+24q+144\)
10. \(s^2-169\)
11. \(49y^{8}+14y^4+1\)
12. \(s^2+22s+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-64q^2+25=(5-8q)(5+8q)\)
2. \(49b^{8}+70b^4x+25x^2=(7b^4+5x)^2\)
3. \(225a^{10}-60a^5y+4y^2=(15a^5-2y)^2\)
4. \(225a^2+120a+16=(15a+4)^2\)
5. \(64q^2+16q+1=(8q+1)^2\)
6. \(b^2-18b+81=(b-9)^2\)
7. \(25p^{10}+10p^5+1=(5p^5+1)^2\)
8. \(256y^2+160y+25=(16y+5)^2\)
9. \(q^2+24q+144=(q+12)^2\)
10. \(s^2-169=(s+13)(s-13)\)
11. \(49y^{8}+14y^4+1=(7y^4+1)^2\)
12. \(s^2+22s+121=(s+11)^2\)