Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9b^{8}+12b^4+4\)
2. \(p^2-49\)
3. \(1-144s^{14}\)
4. \(4x^2-225q^{14}\)
5. \(49q^{10}-126q^5y+81y^2\)
6. \(s^2+24s+144\)
7. \(a^2-100\)
8. \(b^2+6b+9\)
9. \(256s^2-121\)
10. \(225p^2-210p+49\)
11. \(196a^{10}+140a^5s+25s^2\)
12. \(a^2-8a+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9b^{8}+12b^4+4=(3b^4+2)^2\)
2. \(p^2-49=(p+7)(p-7)\)
3. \(1-144s^{14}=(1-12s^7)(1+12s^7)\)
4. \(4x^2-225q^{14}=(2x-15q^7)(2x+15q^7)\)
5. \(49q^{10}-126q^5y+81y^2=(7q^5-9y)^2\)
6. \(s^2+24s+144=(s+12)^2\)
7. \(a^2-100=(a-10)(a+10)\)
8. \(b^2+6b+9=(b+3)^2\)
9. \(256s^2-121=(16s+11)(16s-11)\)
10. \(225p^2-210p+49=(15p-7)^2\)
11. \(196a^{10}+140a^5s+25s^2=(14a^5+5s)^2\)
12. \(a^2-8a+16=(a-4)^2\)