Is this equation right is it worked correctly x 1
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x2-4 x2+4x+4
This is how she simplified it:
x(x2+4x+4) - 1(x2-4)
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(x2-4)(x2+4x+4)
x3+4x2+4x-x2+4
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x4+4x3-16x-16
x3+3x2+4x+4
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x4+4x3-16x-16
1+3x2+1+1
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x4+4-4-4
3+3x2
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x4-4
3+3
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x2-4
6
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x2-4
You did not start with an equation.
None of what follows makes sense
To check if the equation is correct, we can simplify it step by step and compare with the given expression.
Step 1: Simplify the numerator
The numerator is x(x^2 + 4x + 4) - 1(x^2 - 4). Distribute and combine like terms.
x^3 + 4x^2 + 4x - x^2 + 4
Simplified numerator: x^3 + 3x^2 + 4x + 4
Step 2: Simplify the denominator
The denominator is (x^2 - 4)(x^2 + 4x + 4). This can be factored using the difference of squares.
(x - 2)(x + 2)(x^2 + 4x + 4)
Simplified denominator: (x - 2)(x + 2)(x + 2)
Step 3: Combine the simplified numerator and denominator
(x^3 + 3x^2 + 4x + 4)/((x - 2)(x + 2)(x + 2))
The provided expression, 6/(x^2 - 4), can be simplified as follows:
Step 1: Factor the denominator, x^2 - 4, as a difference of squares.
(x - 2)(x + 2)
Step 2: Simplify the expression using the factored denominator.
6/((x - 2)(x + 2))
Comparing the simplified forms, we can see that the given equation and the expression 6/(x^2 - 4) are different. Therefore, the equation is not simplified correctly.