Question

find the square of : 3x -2y

Answer 1

Answer: $9x^{2}$ -12xy + $4y^{2}$

Step-by-step explanation:

If there are two terms,

(In this case, 3x and 2y)

Then its square will contain 3 terms.

If both terms have same signs then all the signs in the answer will be positive (+)

If both terms have different signs then the second sign will be negative (-)

Last term's sign will always be positive.

______ - ______ + ________

First term will be the square of the first term.

Square of 3x is

$3^{2} = 9\\x^{2} =x^{2}$

So first term will be $9x^{2}$

Last term will be the square of the last term .

Square of 2y is

$2^{2} = 4\\y^{2} = y^{2}$

So last term will be $4y^{2}$

To find the middle term you have to multiply both terms (3x and 2y) and multiply the product by 2.

3x x 2y = 6xy

6xy x 2 = 12xy

So, The square of 3x-2y is,

$9x^{2}$ -12xy + $4y^{2}$

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