# What is the coefficient of #x^4# in the expansion of #(2+4x)^5(2-x)^4 #?

##### 1 Answer

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#### Explanation

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Tabulating the products of coefficients

x 16 -32 24 -8 1

32 512 -1024 768 -256 **32**

320 5120 -10240 7680 **-2560** 320

1280 20480 -40960 **30720** -10240 1280

2560 40960 **-81920** 61440 -20480 2560

2560 **40960** -81920 61440 -20480 2560

1024 16384 -32768 24576 -8192 1024

The highlighted numbers are the coefficients of

Adding them up,

Describe your changes (optional) 200