How do you simplify #-2/3n^2(-9n^2+3n+6)#?

1 Answer
Tony B
Aug 19, 2017

#6n^4-2n^3-4n^2#

Once you are used to these you will not need to break it down into steps but do it all at once.

Explanation:

Taking it one step at a time

Think of this as:

#2xx1/3xxn^2xx(-1)xx(-9n^2+3n+6)#

#color(blue)("Step 1")#
Multiply everything inside the brackets by #(-1)# giving:

#2xx1/3xxn^2xx(+9n^2-3n-6)#

#"............................................................................."#
#color(blue)("Step 2")#
Multiply everything inside the brackets by #n^2# giving:

#2xx1/3xx(9n^4-3n^3-6n^2)#

#"............................................................................."#
#color(blue)("Step 3")#
Multiply everything inside the brackets by #1/3# giving:

#2xx(3n^4-1n^3-2n^2)#

#"............................................................................."#
#color(blue)("Step 4")#
Multiply everything inside the brackets by #2# giving:

#6n^4-2n^3-4n^2#

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