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

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

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Answer 1 · 2018-07-09T22:07:35

$9 m^{2} - 30 m p + 24 p^{2}$ $9m^2 - 30mp + 24p^2$

Explanation:

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

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

The $firsts$ $color(teal)("firsts")$ :
$3 m \cdot 3 m = 9 m^{2}$ $color(teal)(3m * 3m) = 9m^2$

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

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

The $lasts$ $color(olivedrab)"lasts"$ :
$- 4 p \cdot - 6 p = 24 p^{2}$ $color(olivedrab)(-4p * -6p) = 24p^2$

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

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

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

1 Answer

Explanation:

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