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Solve the following question

Solve the following question-example-1
User Jebathon
by
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1 Answer

3 votes

Given:

The expressions are:


(2a^2b)/(2c^2)\cdot (6ac^3)/(20b^4)


(x^2-y^2)/(4x+4y)\cdot (x+y)/(x-y)

To find:

The simplified form of the given expressions.

Solution:

We have,


(2a^2b)/(2c^2)\cdot (6ac^3)/(20b^4)

It can be written as:


(2a^2b)/(2c^2)\cdot (6ac^3)/(20b^4)=(12a^(2+1)bc^3)/(40b^4c^2)


(2a^2b)/(2c^2)\cdot (6ac^3)/(20b^4)=(3a^(3)c^(3-2))/(10b^(4-1))


(2a^2b)/(2c^2)\cdot (6ac^3)/(20b^4)=(3a^(3)c^(1))/(10b^3)

Therefore, the value of the given expression is
(3a^(3)c)/(10b^3).

We have,


(x^2-y^2)/(4x+4y)\cdot (x+y)/(x-y)

It can be written as:


(x^2-y^2)/(4x+4y)\cdot (x+y)/(x-y)=((x+y)(x-y))/(4(x+y))\cdot (x+y)/(x-y)


(x^2-y^2)/(4x+4y)\cdot (x+y)/(x-y)=(x+y)/(4)

Therefore, the value of the given expression is
(x+y)/(4).

User Num
by
8.5k points

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