How do you find the quotient of $(64x^2y^3z(2x - 8)( 3y^2 + 15y)) ÷ (12xy(y + 5)(x – 4))$ ?

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Answer 1 · 2017-05-03T19:20:17

$32xy^3z$

$(color(magenta)(64x^2y^3z)color(red)(""(2x-8))color(blue)(""(3y^2+15y)))/(color(magenta)(12xy)color(blue)(""(y+5))color(red)(""(x-4)))$

$=color(magenta)((16xy^2z)(4xy))/color(magenta)(3(4xy))xxcolor(red)(2(x-4))/color(red)((x-4))xxcolor(blue)(3y(y+5))/color(blue)((y+5))$

...and provided $x!=0 and y!=0 and x!=4 and y!=-5$

$=color(magenta)(16xy^2z)/color(magenta)cancel(3)xxcolor(red)2/color(white)1xxcolor(blue)(cancel(3)y)/color(white)(1)$

$=32xy^3z$

How do you find the quotient of (64x^2y^3z(2x - 8)( 3y^2 + 15y)) ÷ (12xy(y + 5)(x – 4))(64x^2y^3z(2x - 8)( 3y^2 + 15y)) ÷ (12xy(y + 5)(x – 4))?