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3 years ago

What is the simplified form of x minus 3 over x squared plus x minus 12 ⋅ x plus 4 over x squared plus 8x plus 16 ?

Mathematics

1 answer:

elena-s [515]3 years ago

7 0

Your answer is in the attached picture.

Hope this helps,
♥Nikki♥

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Answer:

The answer is 2

Step-by-step explanation:

The hypotenuses of the triangles are different. One is 4 and the other is 5.

Lets use ratios to find the relationship of the hypotenuse and the base.

2.5:5

Turn this into a fraction

2.5/5

Now divide

2.5/5 = 0.5

The base of the triangle is half the length of the hypotenuse.

So 4 is x’s hypotenuse so:

4 x 0.5 = 2

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3 years ago

Simplify the expression below.

olasank [31]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
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\\\\
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$\bf \cfrac{14a^8y^3-7a^4y^5+28a^{12}y^2}{7a^4y}\impliedby 
\begin{array}{llll}
\textit{let us first, distribute}\\
the~denominator
\end{array}
\\\\\\
\cfrac{14a^8y^3}{7a^4y}-\cfrac{7a^4y^5}{7a^4y}+\cfrac{28a^{12}y^2}{7a^4y}
\\\\\\
\cfrac{14}{7}a^8a^{-4}y^{-1} y^3-\cfrac{7}{7}a^4a^{-4}y^{-1} y^5+\cfrac{28}{7}a^{12}a^{-4}y^{-1} y^2
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2a^{8-4}y^{-1+3}-1a^{4-4}y^{-1+5}+4a^{12-4}y^{-1+2}
\\\\\\
2a^4y^2-1\cdot 1y^4+4a^8y\implies 2a^4y^2-y^4+4a^8y$

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