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

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Answer 1 · 2018-04-26T13:18:13

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

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

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

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

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