Question

1)x^2-(x+1)(x+3)= 2) x^2-(x-1)(x-3)= 3)x^2-(x+1)(x-3)=

Answer 1

Вот ответ на три примера.

Answer 2

Let's simplify each expression step by step:

1. $x^2 - (x+1)(x+3)$

To simplify this, we'll first apply the distributive property, which states that $a(b+c) = ab + ac$:

$x^2 - (x+1)(x+3) = x^2 - (x^2 + 3x + x + 3)$

Next, combine like terms:

$x^2 - (x^2 + 4x + 3)$

Now distribute the negative sign inside the parentheses:

$x^2 - x^2 - 4x - 3$

The $x^2$ terms cancel each other out:

$-4x - 3$

So the simplified expression is $-4x - 3$.

2. $x^2 - (x-1)(x-3)$

Again, we'll use the distributive property:

$x^2 - (x-1)(x-3) = x^2 - (x^2 - 3x - x + 3)$

Combine like terms:

$x^2 - (x^2 - 4x + 3)$

Distribute the negative sign:

$x^2 - x^2 + 4x - 3$

The $x^2$ terms cancel each other out:

$4x - 3$

So the simplified expression is $4x - 3$.

3. $x^2 - (x+1)(x-3)$

Now, apply the distributive property:

$x^2 - (x+1)(x-3) = x^2 - (x^2 - 3x + x - 3)$

Combine like terms:

$x^2 - (x^2 - 2x - 3)$

Distribute the negative sign:

$x^2 - x^2 + 2x + 3$

The $x^2$ terms cancel each other out:

$2x + 3$

So the simplified expression is $2x + 3$.

In summary:

1. $x^2 - (x+1)(x+3) = -4x - 3$

2. $x^2 - (x-1)(x-3) = 4x - 3$

3. $x^2 - (x+1)(x-3) = 2x + 3$

Please note that these are the simplified expressions for each given expression.