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3 years ago

Find the least common denominator for these two rational expressions

Mathematics

1 answer:

kogti [31]3 years ago

4 0

factor the 2 denominators:-

a^2 - 6a + 9 = (a - 3)(a - 3)

a^2 - 8a + 15 = (a - 3)(a - 5)

((a - 3) is common to both sets of factors so the LCD is:-

(a - 3)(a - 3)(a - 5) or this can be written as (a -3)^2(a - 5)

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3 years ago

What is the solution of -8 / 2 y - 8 equals 5 / y + 4 - 7 y + 8 / Y 2 - 16

AysviL [449]

Answer:

The value of y is 6.

Step-by-step explanation:

The given equation is

$\dfrac{-8}{2y-8}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-16}$

It can be rewritten as

$\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}+\dfrac{7y+8}{y^2-4^2}$

$\dfrac{-4}{(y-4)}=\dfrac{5}{y+4}+\dfrac{7y+8}{(y+4)(y-4)}$

Multiply both sides by (y+4)(y-4).

$(y+4)(y-4)(\dfrac{-4}{(y-4)})=(y+4)(y-4)(\dfrac{5}{y+4})+(y+4)(y-4)(\dfrac{7y+8}{(y+4)(y-4)})$

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$-4y-16=5y-20-7y-8$

$-4y-16=-2y-28$

$-4y+2y=-28+16$

$-2y=-12$

Divide both sides by -2.

$y=6$

Therefore, the value of y is 6.

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3 years ago

I need help with this math question.<br><br> x^3-8x^2<0

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

Mean Base Theorem

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