Question

(x-2)(5x+3)-(x-2)(3x-5)

Answer 1

(x - 2)(5x + 3) - (x - 2)(3x - 5) = (x - 2)(5x + 3 - 3x + 5) = (x - 2)(2x + 8) =

= 2(x - 2)(x + 4)

Answer 2

Ответ: ответ на картинке :3

Объяснение:

Answer 3

To simplify the expression $(x-2)(5x+3)-(x-2)(3x-5)$, you can use the distributive property and combine like terms:

1. First, factor out the common factor, which is $(x-2)$, from both terms: $(x-2)[(5x+3)-(3x-5)]$

2. Now, distribute the $(x-2)$ to both terms inside the square brackets: $(x-2)[5x+3-3x+5]$

3. Next, simplify the expression inside the square brackets: $(x-2)[(5x-3x)+(3+5)]$

4. Continue simplifying the expression inside the square brackets: $(x-2)[2x+8]$

5. Finally, distribute $(x-2)$ to both terms inside the square brackets: $2x(x-2) + 8(x-2)$

Now, you have simplified the expression to:

$2x(x-2) + 8(x-2)$

You can factor out a common factor of $(x-2)$ from both terms again:

$(x-2)(2x+8)$

And further simplify by factoring out a common factor of 2:

$(x-2)2(x+4)$

So, the simplified expression is $2(x-2)(x+4)$.