How do you use the distributive property to remove the parentheses #\frac { 3} { 2} ( 10w + 4)#?

1 Answer
Jim G.
Jan 16, 2018

#15w+6#

Explanation:

#"multiply each term in the bracket by "3/2#

#color(red)(3/2)(10w+4)#

#=(color(red)(3/2)xx10w)+(color(red)(3/2)xx4)#

#=(3/cancel(color(red)(2))^1xxcancel(10)^5 w)+(3/cancel(color(red)(2))^1xxcancel(4)^2)#

#=(3xx5w)+(3xx2)=15w+6#

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