How do you multiply #(2x \cdot 5^ { 2} ) ( 3x ^ { 2} \cdot 7x )#?

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Answer 1 · 2018-07-30T19:38:13

#105x^4#

We have the following:

#color(steelblue)((2x*25))color(purple)((3x^2*7x))#

We can simplify the parenthesis to get

#color(steelblue)(50x)color(purple)(21x^3)#

This is essentially the same thing as

#50*21*x*x^3#

When we multiply terms with the same base, we add the exponents. This simplifies to

#105x^4#

Hope this helps!