解答
展开 (a−4)(a−2)2(a−1)7
解答
a10−15a9+97a8−359a7+847a6−1337a5+1435a4−1037a3+484a2−132a+16
求解步骤
(a−4)(a−2)2(a−1)7
=(a−2)2(a−1)7(a−4)
展开 (a−2)2:a2−4a+4
=(a2−4a+4)(a−1)7(a−4)
=(a−1)7(a2−4a+4)(a−4)
展开 (a−1)7(a−4):a(a−1)7−4(a−1)7
=(a(a−1)7−4(a−1)7)(a2−4a+4)
打开括号=a(a−1)7a2+a(a−1)7(−4a)+a(a−1)7⋅4−4(a−1)7a2−4(a−1)7(−4a)−4(a−1)7⋅4
化简 a(a−1)7a2+a(a−1)7(−4a)+a(a−1)7⋅4−4(a−1)7a2−4(a−1)7(−4a)−4(a−1)7⋅4:−16(a−1)7+a3(a−1)7−8a2(a−1)7+20a(a−1)7
=−16(a−1)7+a3(a−1)7−8a2(a−1)7+20a(a−1)7
展开 −16(a−1)7:−16a7+112a6−336a5+560a4−560a3+336a2−112a+16
=−16a7+112a6−336a5+560a4−560a3+336a2−112a+16+a3(a−1)7−8a2(a−1)7+20a(a−1)7
展开 a3(a−1)7:a10−7a9+21a8−35a7+35a6−21a5+7a4−a3
=−16a7+112a6−336a5+560a4−560a3+336a2−112a+16+a10−7a9+21a8−35a7+35a6−21a5+7a4−a3−8a2(a−1)7+20a(a−1)7
展开 −8a2(a−1)7:−8a9+56a8−168a7+280a6−280a5+168a4−56a3+8a2
=−16a7+112a6−336a5+560a4−560a3+336a2−112a+16+a10−7a9+21a8−35a7+35a6−21a5+7a4−a3−8a9+56a8−168a7+280a6−280a5+168a4−56a3+8a2+20a(a−1)7
展开 20a(a−1)7:20a8−140a7+420a6−700a5+700a4−420a3+140a2−20a
=−16a7+112a6−336a5+560a4−560a3+336a2−112a+16+a10−7a9+21a8−35a7+35a6−21a5+7a4−a3−8a9+56a8−168a7+280a6−280a5+168a4−56a3+8a2+20a8−140a7+420a6−700a5+700a4−420a3+140a2−20a
化简 −16a7+112a6−336a5+560a4−560a3+336a2−112a+16+a10−7a9+21a8−35a7+35a6−21a5+7a4−a3−8a9+56a8−168a7+280a6−280a5+168a4−56a3+8a2+20a8−140a7+420a6−700a5+700a4−420a3+140a2−20a:a10−15a9+97a8−359a7+847a6−1337a5+1435a4−1037a3+484a2−132a+16
=a10−15a9+97a8−359a7+847a6−1337a5+1435a4−1037a3+484a2−132a+16