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Natasha_Volkova [10]
3 years ago
7

Ignore the fact that this sounds depressing but-

Mathematics
2 answers:
mr_godi [17]3 years ago
8 0

Answer:

im gonna take a educated guess and say this is completly normal.

Step-by-step explanation:

Sphinxa [80]3 years ago
6 0

Answer:

Step-by-step explanation:

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Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6.
Yuki888 [10]

For this case we must simplify the following expression:

\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6}

Simplifying the numerator, dividing all the terms by 4, we have:

x ^ 2-8x + 12

We factor by looking for two numbers that when added together give -8 and when multiplied by 12. These are: -6 and -2

-6-2 = -8\\-6 * -2 = 12

So, we have to:

x ^ 2-8x + 12 = (x-6) (x-2)

Simplifying the denominator:

We rewrite -17x as -18x + x:

3x ^ 2-18x + x-6

We factor the highest common denominator of each group:

3x (x-6) +1 (x-6)

We factor the polynomial by factoring the highest common denominator (x-6):

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So, we have to:

3x ^ 2-17x-6 = (x-6) (3x + 1)

Substituting in the original expression we have:

\frac {(x-6) (x-2)} {(x-6) (3x + 1)} = \frac {x-2} {3x + 1}

ANswer:

\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6} = \frac {x-2} {3x + 1}

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