How do you multiply #(5c ^ { 2} - 4) ( 2c ^ { 2} + c - 3)#?

1 Answer
Oct 31, 2016

#10c^4+5c^3-23c^2-4c+12#

Explanation:

We must ensure that each term in the second bracket is multiplied by each term in the first bracket.

#rArr(color(red)(5c^2-4))(2c^2+c-3)#

#=color(red)(5c^2)(2c^2+c-3)color(red)(-4)(2c^2+c-3)#

now, distribute the brackets.

#=10c^4+5c^3-15c^2-8c^2-4c+12#

collect like terms.

#=10c^4+5c^3-23c^2-4c+12#