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4 years ago

6

The extended table is a rectangular with an area of (18+6x) square feet. Write an expression in simplest form that represents th

e length ( in feet ) of the entendres table.

1 answer:

Tasya [4]4 years ago

4 0

You can take a six out of both factors, 6(3 + x )

so the length would be 6 and the width would be (3+x)

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Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit. (x - 3)^5

Rudiy27

I used bionomial expansion up to and including the term $x^{3}$

$(-3 + x)^{5}$

$-3^{5} (1 + -\frac{1}{3}x) ^{5}$

$-243 (1 + -\frac{1}{3}x) ^{5}$

n = 5
x = $- \frac{1}{3}x$

Binomial expansion:

$1 + nx + \frac{n(n-1) x^{2} }{2!} + \frac{n(n-1)(n-2) x^{3} }{3!}$

Therefore:

$1 + (5*- \frac{1}{3}x) + \frac{5(4) (- \frac{1}{3}x)^{2} }{2} + \frac{5(4)(3) (- \frac{1}{3}x)^{3} }{6}$

=

$1 - \frac{5}{3} x + \frac{10}{9} x^{2} - \frac{10}{27} x^{3} 

$

Multiply by -243

=

$-243 + 405x - 270x^{2} + 90 x^{3} 
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allsm [11]

Xyz = 60
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3 years ago

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4 years ago

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