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Find the least common denominator for these

two rational expressions.
-8
y2 - 2y +1 y2 – 6y +5

Find the least common denominator for these two rational expressions. -8 y2 - 2y +1 y-example-1
User Pritam
by
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1 Answer

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Answer:

-7y2 - 8y + 5

Explanation:

Changes made to your input should not affect the solution:

(1): "y2" was replaced by "y^2". 1 more similar replacement(s).Step 1 :

Equation at the end of step 1 :

((((0 - 23y2) - 2y) + y2) - 6y) + 5

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

-7y2 - 8y + 5 = -1 • (7y2 + 8y - 5)

Trying to factor by splitting the middle term

3.2 Factoring 7y2 + 8y - 5

The first term is, 7y2 its coefficient is 7 .

The middle term is, +8y its coefficient is 8 .

The last term, "the constant", is -5

Step-1 : Multiply the coefficient of the first term by the constant 7 • -5 = -35

Step-2 : Find two factors of -35 whose sum equals the coefficient of the middle term, which is 8 .

-35 + 1 = -34

-7 + 5 = -2

-5 + 7 = 2

-1 + 35 = 34

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

-7y2 - 8y + 5 Hope this helps

User Proudgeekdad
by
8.2k points