Simplify the following expression. -6โข(12โข๐ฅ-16โข๐ฆ)+6โข(-12โข๐ฅ-56โข๐ฆ)=
Question
Simplify the following expression. -6โข(12โข๐ฅ-16โข๐ฆ)+6โข(-12โข๐ฅ-56โข๐ฆ)=
Solution
First, distribute -6 to the terms inside the first parentheses:
-6 * 12x = -72x -6 * -16y = 96y
So, -6(12x - 16y) simplifies to -72x + 96y.
Next, distribute 6 to the terms inside the second parentheses:
6 * -12x = -72x 6 * -56y = -336y
So, 6(-12x - 56y) simplifies to -72x - 336y.
Finally, combine like terms:
-72x + 96y - 72x - 336y = -144x - 240y
So, -6(12x - 16y) + 6(-12x - 56y) simplifies to -144x - 240y.
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