How do you multiply #(4m - 6) ( - 6m + 3)#?

2 Answers
Jim G.
Jun 28, 2018

#-24m^2+48m-18#

Explanation:

#"each term in the second factor is multiplied by each term"#
#"in the first factor"#

#(color(red)(4m-6))(-6m+3)#

#=color(red)(4m)(-6m+3)color(red)(-6)(-6m+3)larrcolor(blue)"distribute"#

#=(color(red)(4m)xx-6m)+(color(red)(4m)xx3)+(color(red)(-6)xx-6m)+(color(red)(-6)xx3)#

#=-24m^2color(blue)(+12m)color(blue)(+36m)-18larrcolor(magenta)"collect like terms"#

#=-24m^2+48m-18#

Barney V.
Jun 28, 2018

#color(green)(-24m^2+42m-18#

Explanation:

#(4m-6)(-6m+3)#

#color(white)(aaaaaaaaaaaaaaa)##4m-6#
#color(white)(aaaaaaaaaaa)## xx underline(-6m+3)#
#color(white)(aaaaaaaaaaaaa)##-24m^2+36m#
#color(white)(aaaaaaaaaaaaaaaaaaaa)##+12m-18#
#color(white)(aaaaaaaaaaaaa)##overline(-24m^2+42m-18)#

#color(white)(aaaaaaaaaaaaa)##color(green)(-24m^2+42m-18#

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