Simplify the following expression.
left-parenthesis x plus 1 right- parenthesis superscript 2 baseline minus 3 left-parenthesis x plus 2 right-parenthesis
(1 point)
Responses
x squared minus 3 x plus 7
- image with description: x squared minus 3 x plus 7 - - incorrect
x squared minus x minus 5
- image with description: x squared minus x minus 5 - - no response given
x squared minus 3 x minus 5
- image with description: x squared minus 3 x minus 5 - - no response given
x squared minus x plus 3
The simplified expression is x squared minus x plus 3.
To simplify the expression, we need to expand the square and then combine like terms:
Starting expression: (x + 1)^2 - 3(x + 2)
Expanding the square:
(x + 1)(x + 1) - 3(x + 2)
Using the distributive property:
(x^2 + x + x + 1) - 3x - 6
Combining like terms:
x^2 + 2x + 1 - 3x - 6
Simplifying further:
x^2 - x - 5