Question

(3x-2)×(3x+2)-(4-x²)+(5x-1)×(x-3)

Answer 1

9х2-4-4+х2+5х2-15х-х+3
15х2-5-16х
15х2-16x-5

Answer 2

It looks like you've provided an algebraic expression:

(3x-2) × (3x+2) - (4-x²) + (5x-1) × (x-3).

To simplify this expression, let's work through each term step by step:

1. (3x-2) × (3x+2): This is a difference of squares, so you can apply the formula (a+b)(a-b) = a^2 - b^2.

   = (3x)^2 - (2)^2 = 9x^2 - 4.

2. (4-x²): This term is already simplified.

3. (5x-1) × (x-3): You can use the distributive property (FOIL) to multiply these binomials.

   = 5x^2 - 15x - x + 3 = 5x^2 - 16x + 3.

Now, let's put everything together:

(9x^2 - 4) - (4 - x²) + (5x^2 - 16x + 3).

Distribute the negative sign in the second term:

9x^2 - 4 - 4 + x² + 5x^2 - 16x + 3.

Combine like terms:

(9x^2 + x² + 5x^2) + (-4 - 4 + 3) + (-16x).

Simplify further:

15x^2 - 5 - 16x.

So, the simplified expression is:

15x^2 - 16x - 5.