Which of the following is the result when you find the product of (xโ1)(3xโ4)(3x+4)(๐ฅโ1)(3๐ฅโ4)(3๐ฅ+4)?Question 12Select one:9x3โ9x2โ16x+169๐ฅ3โ9๐ฅ2โ16๐ฅ+169x3+9x2+16x+169๐ฅ3+9๐ฅ2+16๐ฅ+169x3โ9x2โ16xโ169๐ฅ3โ9๐ฅ2โ16๐ฅโ169x3+25x2+16
Question
Which of the following is the result when you find the product of (xโ1)(3xโ4)(3x+4)(๐ฅโ1)(3๐ฅโ4)(3๐ฅ+4)?Question 12Select one:9x3โ9x2โ16x+169๐ฅ3โ9๐ฅ2โ16๐ฅ+169x3+9x2+16x+169๐ฅ3+9๐ฅ2+16๐ฅ+169x3โ9x2โ16xโ169๐ฅ3โ9๐ฅ2โ16๐ฅโ169x3+25x2+16
Solution
To find the product of the given expressions, we need to multiply them together.
Step 1: Multiply (x-1) and (3x-4) together.
This gives us: 3x^2 - 4x - 3x + 4 = 3x^2 - 7x + 4
Step 2: Multiply the result from step 1 with (3x+4).
This gives us: 9x^3 + 12x^2 - 21x^2 - 28x + 12x + 16 = 9x^3 - 9x^2 - 16x + 16
Step 3: Multiply the result from step 2 with (x-1).
This gives us: 9x^4 - 9x^3 - 16x^2 + 16x - 9x^3 + 9x^2 + 16x - 16 = 9x^4 - 18x^3 + 16x - 16
So, the product of (xโ1)(3xโ4)(3x+4)(๐ฅโ1)(3๐ฅโ4)(3๐ฅ+4) is 9x^4 - 18x^3 + 16x - 16.
However, none of the options provided match this result. There might be a mistake in the question or the options provided.
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