# How do you use pascals triangle to expand # (2x-6)^7#?

##### 1 Answer

Aug 15, 2016

#### Explanation:

Using

#color(blue)"Pascal's triangle"#

here n = 7 : using the coefficients from the 7th row.

That is

#color(red)(1,7,21,35,35,21,7,1)# with decreasing powers of 2x from

#(2x)^7to(2x)^0# and increasing powers of -6 from

#(-6)^0to(-6)^7#

#=128x^7-2688x^6+24192x^5- .......# The remaining terms can be calculated in the same way.