How do you multiply # (7x)(8x) #?

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Answer 1 · 2015-06-26T22:56:40

#(7x)(8x) = 56x^2#

#(7x)(8x) = (7*x)*(8*x) = 7*x*8*x = 7*8*x*x#

#= (7*8)*(x*x) = 56x^2#

using commutativity and associativity of multiplication.

That is, for any #a#, #b# and #c#:

#a * b = b * a#

and

#a * (b * c) = (a * b) * c#