1)5(x^4-25)=5(x^2-5)*(x^2+5)
2)3(x^6-9)=3(x^3-3)(x^3+3)
3)2(x^8-16)=2(x^4-4)(x^4+4)=2(x^2-2)(x^2=2)(x^4+4)
1)5x⁴-125=5(x4-25)=5(x2+5)(x2-5)
2)3x⁶-27=3(x6-9)=3(x3+3)(x3-3)
3)2x⁸-32=2(x8-16)=2(x4+4)(x4-4)=2(x4+4)(x2+2)
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Answers & Comments
1)5(x^4-25)=5(x^2-5)*(x^2+5)
2)3(x^6-9)=3(x^3-3)(x^3+3)
3)2(x^8-16)=2(x^4-4)(x^4+4)=2(x^2-2)(x^2=2)(x^4+4)
2)3x⁶-27=3×((х³)²-3²)=3×(х³-3)×(х³+3);
3)2x⁸-32=2((х⁴)²-4²)=2×(х⁴-4)×(х⁴+4)=2×(х²-2)×(х²+2)×(х⁴+4)=2×(х-√2)×(х+√2)×(х²+2)×(х⁴+4).
1)5x⁴-125=5(x4-25)=5(x2+5)(x2-5)
2)3x⁶-27=3(x6-9)=3(x3+3)(x3-3)
3)2x⁸-32=2(x8-16)=2(x4+4)(x4-4)=2(x4+4)(x2+2)