Question

(4x-3y)(x+2y)+2x(x+2y)

Answer 1

(х+2у)(4х-3у +2х)=(х+2у)(6х-3у) =3(х+2у)(2х-у)

Answer 2

To simplify the expression (4x-3y)(x+2y) + 2x(x+2y), you can factor out the common term (x+2y) from both terms in the expression. Here's how you can do it:

(4x-3y)(x+2y) + 2x(x+2y)

First, factor out (x+2y):

(x+2y)[(4x-3y) + 2x]

Now, you can distribute (x+2y) to the terms inside the square brackets:

(x+2y)[4x - 3y + 2x]

Next, combine like terms inside the square brackets:

(x+2y)[6x - 3y]

Now, distribute (x+2y) to both terms inside the square brackets:

6x(x+2y) - 3y(x+2y)

Finally, distribute 6x and -3y to their respective terms inside the parentheses:

6x^2 + 12xy - 3xy - 6y^2

Now, combine like terms:

6x^2 + (12xy - 3xy) - 6y^2

Combine the terms with 'xy':

6x^2 + 9xy - 6y^2

So, the simplified expression is:

6x^2 + 9xy - 6y^2