Question

Simplify (3x - y)² + 3x (2x + y)²​

Answer 1

Answer:

We have,

(3x+2y)

2

=(3x)

2

+2.3x.2y+(2y)

2

(∵(a+b)

2

=a

2

+2ab+b

2

))

=9x

2

+12xy+4y

2

And,

(3x−2y)

2

=(3x)

2

−2.3x.2y+(2y)

2

(∵(a−b)

2

=a

2

−2ab+b

2

))

=9x

2

−12xy+4y

2

Therefore,

(3x+2y)

2

−(3x−2y)

2

=9x

2

+12xy+4y

2

−9x

2

+12xy−4y

2

=24xy

Step-by-step explanation:

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