How do you simplify #4c ^ { 2} ( 2c ^ { 2} + 2c )#?

1 Answer
smendyka
Dec 26, 2016

#8c^4 + 8c^3#

Explanation:

To simplify this expression we need to first expand the terms within the parenthesis by multiplying each individual term inside the parenthesis by #color(red)(4c^2)#:

#(color(red)(4c^2) * 2c^2) + (color(red)(4c^2) * 2c)#

Now we can use this rule of exponents to multiply the individual terms:

#color(blue)(x^a * x^b = x^(a+b)#

#8c^(2+2) + 8c^(2+1)#

#8c^4 + 8c^3#

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