Multiply (x – 2)(3x + 4) using the distributive property. Select the answer choice showing the correct distribution.
1 answer:
Answer: Choice C)
(x-2)(3x) + (x-2)(4)
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How to get this answer? One easy way that might work is to let y = x-2, which will allow us to do a replacement.
We will go from (x-2)(3x+4) to y(3x+4). Now use the distributive property to multiply the y term by each term inside
y(3x+4) = y*3x + y*4 = (y)*(3x) + (y)*(4)
The last step is to re-introduce y = x-2 back in. So replace y with x-2 like so
(y)*(3x) + (y)*(4) = (x-2)*(3x) + (x-2)(4)
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