How do you multiply #(7x - 2) ( - 5x + 3)#?

2 Answers
Mark D.
May 23, 2018

#-35x^2+21x+10x-6#

#-35x^2+31x-6#

Lea
May 23, 2018

#-35x^2+31x-6#

Explanation:

You would solve #(7x-2)(-5x+3)# by foiling the problem.

Foil stands for First, Outer, Inner, Last.
So by following this method we need to first multiply the first terms in this problem which is #7x and -5x#.

#(# 7x #-2)(# -5x# +3)=-35x^2#

Next we need to multiply the two outer terms together which is #7x and 3#.

#(# 7x #-2)(-5x+# 3 #)=-35x^2+21x#

Next, we multiply the two inner terms which is #-2 and -5x#.

#(7x# -2 #)(# -5x #+3)=-35x^2+21x+10x#

And finally, we multiply the two remaining terms which is #-2 and 3#.

#(7x# -2 #)(-5x+# 3 #)=-35x^2+21x+10x-6#

Lastly you simply add up all the like terms and you'll be left with #-35x^2+31x-6#

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