How do you multiply (4(x+2))/(5x)*(6x^2)/(2x)4(x+2)5x⋅6x22x?

1 Answer
1s2s2p
Apr 26, 2018

(12(x+2))/512(x+2)5

Explanation:

Firstly, I will write the generalised formula. a/b*c/d=(ac)/(bd)ab⋅cd=acbd

So, we have (4(x+2))/(5x)*(6x^2)/(2x)=(4(x+2)(6x^2))/(5x(2x))=(24x^2(x+2))/(10x^2)4(x+2)5x⋅6x22x=4(x+2)(6x2)5x(2x)=24x2(x+2)10x2

(24cancel(x^2)(x+2))/(10cancel(x^2))=(24(x+2))/10=(12(x+2))/5

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