Question

(x+1) (x+7) -(x+2) (x+3) ​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Ответ:

......,.........,.........

Answer 3

To simplify the expression $(x+1)(x+7) - (x+2)(x+3)$, you can use the distributive property to expand each term and then combine like terms:

$(x+1)(x+7) - (x+2)(x+3)$

Expanding the first term:

$(x+1)(x+7) = x(x+7) + 1(x+7) = x^2 + 7x + x + 7$

Expanding the second term:

$(x+2)(x+3) = x(x+3) + 2(x+3) = x^2 + 3x + 2x + 6$

Now, you can subtract the second expression from the first:

$(x^2 + 7x + x + 7) - (x^2 + 3x + 2x + 6)$

Now, combine like terms:

$x^2 + 8x + 7 - (x^2 + 5x + 6)$

Next, distribute the negative sign in front of the second expression:

$x^2 + 8x + 7 - x^2 - 5x - 6$

Now, you can combine like terms:

$x^2 - x^2 + 8x - 5x + 7 - 6$

The $x^2$ terms cancel out, and you are left with:

$3x + 1$

So, the simplified expression is $3x + 1$.