Question

28y²(2x-3)+49xy(3-2x)

Answer 1

$7y(2x - 3) \times (4y - 7x)$

Answer 2

28y²(2x-3)+49xy(3-2x) =

7y(4y(2x-3)+7x(3-2x)) =

7y(4y(2x-3)-7x(2x-3)) =

7y(2x-3)(4y-7x).

Answer 3

To simplify the expression, let's combine like terms and perform the necessary operations:

The given expression is:

28y²(2x - 3) + 49xy(3 - 2x)

Step 1: Distribute the terms inside the parentheses.

28y²(2x) - 28y²(3) + 49xy(3) - 49xy(2x)

Step 2: Perform the multiplication.

56xy² - 84y² + 147xy - 98xy²

Step 3: Combine like terms.

Combine the terms with the same variables and their corresponding exponents:

(56xy² - 98xy²) + (-84y² + 147xy)

Simplify:

-42xy² + 147xy - 84y²

So, the simplified expression is:

-42xy² + 147xy - 84y²