Multiply Fractions?

Question

-3a^2b 14a^3b^2
35a^5 (*) -9b^4

Please help me with these fractions !!


n^2 -n-20 n^2 +5n
2n^2 (* ) n^2 -25

Answer 1

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QUESTION 1

I'm assuming you want to multiply:
-3a^2b / 35a^5 and 14a^3b^2 / -9b^4

Step 1)

-3a^2b * 14a^3b^2
------------------------
35a^5 * -9b^4

Step 2)

-42a^5b^3
-------------
-315a^5b^4

Step 3 - Final Answer)

42
-----
31b

QUESTION 2

Step 1)

(n^2 -n-20) * (n^2 +5n)
-----------------------------
2n^2 * (n^2 -25)

Step 2) Factorize

(n + 5)(n - 4) * n(n + 5)
-----------------------------
2n^2 * (n + 5)(n - 5)

Step 3) Simplify

n(n-4)
------------------------
2n^2/(n + 5) * (n - 5)

Step 4)

n(n - 4)
---------------------------
2n^2 * (n-5) / (n + 5)

Step 5)

n(n - 4)(n + 5)
------------------------
2n^2 * (n - 5)

Step 6 - Final Answer)

(n - 4)(n + 5)
------------------------
2n(n - 5)

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