Question

(x+1)(x+2)-(x-3)(x+4)

Answer 1

(Х+1)(Х+2)-(Х-3)(Х+4)=Х^2+3Х+2-Х^2-Х+12=2Х+14

Answer 2

Expanding the given expression, we have:

(x + 1)(x + 2) - (x - 3)(x + 4)

Using the distributive property, we can expand each binomial:

= (x * x + x * 2 + 1 * x + 1 * 2) - (x * x + x * 4 - 3 * x - 3 * 4)

Simplifying further, we combine like terms:

= (x^2 + 2x + x + 2) - (x^2 + 4x - 3x - 12)

= x^2 + 3x + 2 - x^2 - x - 12

The x^2 terms cancel out, leaving:

= 3x - x - x + 2 - 12

Combining like terms again:

= x - 10

Therefore, the simplified form of the expression (x + 1)(x + 2) - (x - 3)(x + 4) is x - 10.