Question

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

Answer 1

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

•x^2-(x+1)(x+3)=x^2-(x^2+3х+х+3)=х^2-(х^2+4х+3) =х^2-х^2-4х-3=-4х-3

•x^2-(x-1)(x-3)=x^2-(x^2-3х-х+3)=х^2-(х^2-4х+3) =х^2-х^2+4х-3=4х-3

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

Answer 2

Let's simplify each of the given expressions step by step:

1. x^2 - (x-1)(x+3): Expand the expression (x-1)(x+3) using the distributive property: x^2 - (x-1)(x+3) = x^2 - (x^2 + 2x - 3) = x^2 - x^2 - 2x + 3 = -2x + 3

2. x^2 - (x+1)(x+3): Expand the expression (x+1)(x+3) using the distributive property: x^2 - (x+1)(x+3) = x^2 - (x^2 + 4x + 3) = x^2 - x^2 - 4x - 3 = -4x - 3

3. x^2 - (x-1)(x-3): Expand the expression (x-1)(x-3) using the distributive property: x^2 - (x-1)(x-3) = x^2 - (x^2 - 4x + 3) = x^2 - x^2 + 4x - 3 = 4x - 3

4. x^2 - (x+1)(x-3): Expand the expression (x+1)(x-3) using the distributive property: x^2 - (x+1)(x-3) = x^2 - (x^2 - 2x - 3) = x^2 - x^2 + 2x + 3 = 2x + 3

So the simplified expressions are:

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