Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169q^{4}-130q^2x+25x^2\)
2. \(121b^2-286b+169\)
3. \(49a^2-100\)
4. \(x^2+24x+144\)
5. \(x^2-144\)
6. \(25x^{6}-40x^3+16\)
7. \(49q^{4}+140q^2+100\)
8. \(100a^{14}-9y^2\)
9. \(4s^{6}+20s^3+25\)
10. \(p^2+14p+49\)
11. \(25-144y^{16}\)
12. \(169a^2-312a+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169q^{4}-130q^2x+25x^2=(13q^2-5x)^2\)
2. \(121b^2-286b+169=(11b-13)^2\)
3. \(49a^2-100=(7a+10)(7a-10)\)
4. \(x^2+24x+144=(x+12)^2\)
5. \(x^2-144=(x-12)(x+12)\)
6. \(25x^{6}-40x^3+16=(5x^3-4)^2\)
7. \(49q^{4}+140q^2+100=(7q^2+10)^2\)
8. \(100a^{14}-9y^2=(10a^7+3y)(10a^7-3y)\)
9. \(4s^{6}+20s^3+25=(2s^3+5)^2\)
10. \(p^2+14p+49=(p+7)^2\)
11. \(25-144y^{16}=(5-12y^8)(5+12y^8)\)
12. \(169a^2-312a+144=(13a-12)^2\)