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!

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