Question

simplify (3x+2y)√2+(3x-2y)√2​

Answer 1

Answer:

Class 8

>>Maths

>>Squares and Square Roots

>>Finding Square of a Number

>>Solve the equation: - (3x +...

Question

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Solve the equation:-

(3x+2y)

2

+(3x−2y)

2

Easy

Solution

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(3x+2y)

2

+(3x−2y)

2

Using identity:

(a+b)

2

=a

2

+b

2

+2ab

(a−b)

2

=a

2

+b

2

−2ab

Therefore,

(3x+2y)

2

+(3x−2y)

2

=[(3x)

2

+(2y)

2

+2(3x)(2y)]+[(3x)

2

+(2y)

2

−2(3x)(2y)]

=[9x

2

+4y

2

+12xy]+[9x

2

+4y

2

−12xy]

=9x

2

+4y

2

+12xy+9x

2

+4y

2

−12xy

=18x

2

+8y

2

=2(9x

2

+4y

2

)

Hence (3x+2y)

2

+(3x−2y)

2

=2(9x

2

+4y

2

)

Step-by-step explanation:

hope it helps u