How do you simplify #(3m - 4p )* ( 3m - 6p )#?

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Answer 1 · 2018-07-09T22:07:35

#9m^2 - 30mp + 24p^2#

#(3m - 4p)(3m-6p)#

To simplify this, we expand/simplify this using FOIL:
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Following this image, we can multiply it out.

The #color(teal)("firsts")#:
#color(teal)(3m * 3m) = 9m^2#

The #color(indigo)("outers")#:
#color(indigo)(3m * -6p) = -18mp#

The #color(peru)"inners"#:
#color(peru)(-4p * 3m) = -12mp#

The #color(olivedrab)"lasts"#:
#color(olivedrab)(-4p * -6p) = 24p^2#

Combine them all together to get:
#9m^2 - 18mp - 12mp + 24p^2#

We can still combine the like terms #color(blue)(-18mp)# and #color(blue)(-12mp)#:
#9m^2 - 30mp + 24p^2#

Hope this helps!