解答
展开 4(2x5+x2−10)5
解答
128x25+320x22−3200x20+320x19−6400x17+160x16+32000x15−4800x14+40x13+48000x12−1600x11−159996x10+24000x9−200x8−160000x7+4000x6+400000x5−40000x4+200000x2−400000
求解步骤
4(2x5+x2−10)5
(2x5+x2−10)5=32x25+80x22−800x20+80x19−1600x17+40x16+8000x15−1200x14+10x13+12000x12−400x11−39999x10+6000x9−50x8−40000x7+1000x6+100000x5−10000x4+50000x2−100000
=4(32x25+80x22−800x20+80x19−1600x17+40x16+8000x15−1200x14+10x13+12000x12−400x11−39999x10+6000x9−50x8−40000x7+1000x6+100000x5−10000x4+50000x2−100000)
打开括号=4⋅32x25+4⋅80x22+4(−800x20)+4⋅80x19+4(−1600x17)+4⋅40x16+4⋅8000x15+4(−1200x14)+4⋅10x13+4⋅12000x12+4(−400x11)+4(−39999x10)+4⋅6000x9+4(−50x8)+4(−40000x7)+4⋅1000x6+4⋅100000x5+4(−10000x4)+4⋅50000x2+4(−100000)
使用加减运算法则+(−a)=−a=4⋅32x25+4⋅80x22−4⋅800x20+4⋅80x19−4⋅1600x17+4⋅40x16+4⋅8000x15−4⋅1200x14+4⋅10x13+4⋅12000x12−4⋅400x11−4⋅39999x10+4⋅6000x9−4⋅50x8−4⋅40000x7+4⋅1000x6+4⋅100000x5−4⋅10000x4+4⋅50000x2−4⋅100000
化简 4⋅32x25+4⋅80x22−4⋅800x20+4⋅80x19−4⋅1600x17+4⋅40x16+4⋅8000x15−4⋅1200x14+4⋅10x13+4⋅12000x12−4⋅400x11−4⋅39999x10+4⋅6000x9−4⋅50x8−4⋅40000x7+4⋅1000x6+4⋅100000x5−4⋅10000x4+4⋅50000x2−4⋅100000:128x25+320x22−3200x20+320x19−6400x17+160x16+32000x15−4800x14+40x13+48000x12−1600x11−159996x10+24000x9−200x8−160000x7+4000x6+400000x5−40000x4+200000x2−400000
=128x25+320x22−3200x20+320x19−6400x17+160x16+32000x15−4800x14+40x13+48000x12−1600x11−159996x10+24000x9−200x8−160000x7+4000x6+400000x5−40000x4+200000x2−400000