How do you multiply #(- 3v + 7) ( - 6v + 5)#?

1 Answer
Meave60
Jun 24, 2017

#(-3v+7)(-6v+5)=color(blue)(18v^2-57v+35#

Explanation:

Multiply:

#(-3v+7)(-6v+5)#

Apply the FOIL method:

www.mesacc.edu/~scotz47781/mat120/notes/polynomials/foil_method/images/examples/foil_diagram.gif

#color(red)((-3v+7)(-6v+5))=color(blue)((-3v*-6v)+(-3v*5)+(7*-6v)+(7*5)#

Simplify.

#color(red)((-3v+7)(-6v+5))=color(blue)(18v^2-15v-42v+35#

Add #-15v# and #-42v#.

#color(red)((-3v+7)(-6v+5))=color(blue)(18v^2-57v+35#

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