Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121y^2-64\)
2. \(169q^2-9a^{4}\)
3. \(y^2+12y+36\)
4. \(256q^{4}-480q^2x+225x^2\)
5. \(49p^{8}-42p^4x+9x^2\)
6. \(16p^{6}+40p^3s+25s^2\)
7. \(a^2-100\)
8. \(4x^{6}+44x^3+121\)
9. \(64q^2+112q+49\)
10. \(4b^2-169\)
11. \(x^2+2x+1\)
12. \(121y^2-144s^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121y^2-64=(11y+8)(11y-8)\)
2. \(169q^2-9a^{4}=(13q-3a^2)(13q+3a^2)\)
3. \(y^2+12y+36=(y+6)^2\)
4. \(256q^{4}-480q^2x+225x^2=(16q^2-15x)^2\)
5. \(49p^{8}-42p^4x+9x^2=(7p^4-3x)^2\)
6. \(16p^{6}+40p^3s+25s^2=(4p^3+5s)^2\)
7. \(a^2-100=(a-10)(a+10)\)
8. \(4x^{6}+44x^3+121=(2x^3+11)^2\)
9. \(64q^2+112q+49=(8q+7)^2\)
10. \(4b^2-169=(2b+13)(2b-13)\)
11. \(x^2+2x+1=(x+1)^2\)
12. \(121y^2-144s^{10}=(11y-12s^5)(11y+12s^5)\)