How do you find the product #(6z^2-5z-2)(3z^3-2z-4)#?

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Answer 1 · 2017-04-15T04:27:12

#18z^5-18z^3-29z^2+24z+8#

Given -

#(6z^2-5z-2)(3z^3-2z-4)#

Multiply each term in the expression #(6z^2-5z-2)# with #3z^3#

#18z^5-15z^2-6z^3#

Multiply each term in the expression #(6z^2-5z-2)# with #-2z#

#18z^5-15z^2-6z^3-12z^3+10z^2+4z#

Multiply each term in the expression #(6z^2-5z-2)# with #-4#

#18z^5-15z^2-6z^3-12z^3+10z^2+4z-24z^2+20z+8#

Group all the like terms

#18z^5-6z^3-12z^3-15z^2+10z^2-24z^2+4z+20z+8#

Simplify

#18z^5-18z^3-29z^2+24z+8#