Question

Ictor the expression completely. The expre 12(4-x^(2))-2x(4-x^(2))-(4-x^(2))^(2)

Answer 1

To simplify the expression 12(4-x^2)-2x(4-x^2)-(4-x^2)^2, distribute the values inside the parentheses, expand the squared term, and combine like terms to obtain x^4 - 8x^2 - 8x + 16 as the completely simplified expression.

Step-by-step explanation:

To simplify the expression 12(4-x2)-2x(4-x2)-(4-x2)2:

1. Distribute the 12 to each term inside the parentheses: 48 - 12x2
2. Distribute the -2x to each term inside the parentheses: -8x + 2x3
3. Expand the square of (4 - x2): 16 - 8x2 + x4
4. Combine like terms: x4 - 8x2 - 8x + 16

Therefore, the completely simplified expression is x4 - 8x2 - 8x + 16.

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