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Question

(2x – 3y)3

Answer 1

Is this what  you mean?

(2x-3y)

6x-9y

6x=9y

x=1.5y

Answer 2

(2x - 3y)^3

= (2x - 3y)(2x - 3y)(2x - 3y)

= (2x*2x - 3y*2x - 2x*3y + 3y*3y)(2x - 3y)

= (4x^2 - 6xy - 6xy + 9y^2)(2x - 3y)

= (4x^2 - 12xy + 9y^2)(2x - 3y)

= 4x^2*2x - 12xy*2x + 9y^2*2x - 4x^2*3y + 12xy*3y - 9y^2*3y

= 8x^3 - 24x^2y + 18xy^2 - 12x^2y + 36xy^2 - 27y^3

= 8x^3 - 24x^2y - 12x^2y + 18xy^2 + 36xy^2 - 27y^3

= 8x^3 - 36x^2y + 54xy^2 - 27y^3

Answer 3

I'm assuming you meant (2x - 3y)^3 (the last 3 is an exponent)

In general, (a + b)^3 = a^3 + 3*a^2*b + 3*a*b^2 + b^3

notice how the coefficients are 1, 3, 3,1

The a's are, in order, a^3, a^2, a^1, a^0

The b's are, in order, b^0, b^1, b^2, b^3

So the answer is (plugging in 2x for a, and -3y for b):

(2x - 3y)^3 = 8x^3 - 36x^2*y + 54x*y^2 - 27y^3

Answer 4

I assume the 3 means cubed.

(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

so if a = 2x and b = -3y we substitute, simplify, and wind up with

8x^3 - 36x^2y + 54xy^2 - 27y^3

- - -

or of course the 3 could just be a multiplier, in which case the other answers are correct. :-)

Answer 5

6x - 9y

I believe.

Answer 6

you need to multiple the 3 by both of the terms in the ()

so you get 3*2x - 3*3y = 6x - 9y

Answer 7

6x - 9y

Answer 8

1st interpretation (best shot):

= (2x - 3y)³

= (2x - 3y)(2x - 3y)(2x - 3y)

= (4x² - 12xy - 9y²)(2x - 3y)

= 8x³ - 36x²y + 18xy² + 27y³

Answer: 8x³ + 27³ - 36x²y + 18xy²

2nd interpretation:

= 3(2x - 3y)

= 6x - 9y

Answer: 6x - 9y

Answer 9

  (2x - 3y)3 = 3(2x - 3y)

                 = 3*(2x- 3y)

                 =3*2x - 3*3y

                 = 6x - 9y