How do you simplify #(7p - 3) ( 4p ^ { 2} - 4p + 8)#?

1 Answer
Jim G.
Oct 3, 2017

#28p^3-40p^2+68p-24#

Explanation:

#"each term in the second bracket must be multiplied by"#
#"each term in the first bracket"#

#rArr(color(red)(7p-3))(4p^2-4p+8)#

#=color(red)(7p)(4p^2-4p+8)color(red)(-3)(4p^2-4p+8)#

#"distributing the 2 sets of brackets"#

#=28p^3-28p^2+56p-12p^2+12p-24#

#"collecting like terms gives simplification"#

#=28p^3-40p^2+68p-24#

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