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Luda [366]
3 years ago
6

What is the simplified form of the rational expression below 5x2-5/3x2+3x

Mathematics
2 answers:
Bingel [31]3 years ago
6 0

Answer:

(5(x-1))/3x

Step-by-step explanation:

FrozenT [24]3 years ago
5 0

Answer:

\frac{5(x-1)}{3x}

Step-by-step explanation:

The given expression is

\frac{5x^{2} -5}{3x^{2}+3x}

To simplify this rational expression, we need to extract the greatest common factor of each part,

\frac{5x^{2} -5}{3x^{2}+3x}=\frac{5(x^{2}-1) }{3x(x+1)}

Then, we observe that the numerator has a difference of two perfect squares, which can be factored as

a^{2} -b^{2} =(a-b)(a+b)

Where, a=x and b=1

x^{2} -1=(x-1)(x+1)

Now, we applied this to the rational expression

\frac{5x^{2} -5}{3x^{2}+3x}=\frac{5(x^{2}-1) }{3x(x+1)}=\frac{5(x-1)(x+1)}{3x(x+1)}=\frac{5(x-1)}{3x}

Therefore the simplified form of the given expression is

\frac{5(x-1)}{3x}

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