Multiply (x-4)(x^2-5x-6) ...?
2 answers:
Answer:
<em>The answer is: 
</em>
Step-by-step explanation:
The given expression is: 
For getting the product, <u>we need to distribute 
with each term in the second parenthesis</u>. So.....
![(x-4)(x^2-5x-6)\\ \\ =x^2(x-4)-5x(x-4)-6(x-4)\\ \\ =x^3-4x^2-5x^2+20x-6x+24 \ [using\ distribution\ rule]\\ \\ =x^3-9x^2+14x+24\ [combining\ like\ terms]](https://tex.z-dn.net/?f=%28x-4%29%28x%5E2-5x-6%29%5C%5C%20%5C%5C%20%3Dx%5E2%28x-4%29-5x%28x-4%29-6%28x-4%29%5C%5C%20%5C%5C%20%3Dx%5E3-4x%5E2-5x%5E2%2B20x-6x%2B24%20%5C%20%5Busing%5C%20distribution%5C%20rule%5D%5C%5C%20%5C%5C%20%3Dx%5E3-9x%5E2%2B14x%2B24%5C%20%5Bcombining%5C%20like%5C%20terms%5D)
So, the answer is:
See attached photo for answer.
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10 3/4, 4 3/4, and 9 1/2
Step-by-step explanation:
We're going to let x represent the length of the longest side. The perimeter is
x +(x-6) +2(x-6) = 25
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4x = 43
x = 43/4 = 10 3/4
Then x-6 = 4 3/4.
Multiply that two to get 8 3/2 = 9 1/2
I hope this helped! :)
