Question

(1/5x + 2y)(2/3x - y)
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Answer 1

QUESTION:. (1/5x + 2y)(2/3x - y)

ANSWER:::.

Let us solve the given expression as follows:

(

5

1

x+2y)(

3

2

x−y)

=(

5

1

x+

1×5

2×5

y)(

3

2

x−

1×3

1×3

y)(TakingLCM)

=(

5

1

x+

5

10

y)(

3

2

x−

3

3

y)

=(

5

x+10y

)(

3

2x−3y

)

=

15

1

(x+10y)(2x−3y)

=

15

1

(2x

2

−3xy+20xy−30y

2

)

=

15

2x

2

−30y

2

+17xy

Hence, (

5

1

x+2y)(

3

2

x−y)=

15

2x

2

−30y

2

+17xy