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Find the expansion of (2a - 3b)^4.

 Jun 19, 2020
 #1
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You can re-write the expression to be ((2a-3b)^2)^2.  First, you can simplify the inside by using the square of binomials formula: (a+b)^2=a^2+2ab+b^2

 

This gives 4a^2-12ab+9b^2.  Then you can multiply each term, and get a really big number: 16a^4 - 96a^3*b + 216a^2*b^2 - 216ab^3 + 81b^4

 Jun 19, 2020

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