Question

X (x - 7) (x + 7) – (x +2) ( x^2 – 2x + 4) + 3 (x – 4)^2

Answer 1

$x (x - 7) (x + 7) - (x +2) ( x^2 - 2x + 4) + 3 (x - 4)^2 \\x(x^2-49)-(x^3+8)+3(x^2-8x+16)\\x^3-49x-x^3-8+3x^2-24x+48 \\-73x+40+3x^2$

Answer 2

It seems like you've provided a polynomial expression. Let's simplify it step by step:

1. Expand each term within the parentheses:

   First term: X (x - 7) (x + 7) = x^3 - 49x Second term: - (x + 2) (x^2 - 2x + 4) = -x^3 - 2x^2 + 4x + 2x^2 - 4x + 8 = -x^3 + 8 Third term: 3 (x - 4)^2 = 3 (x^2 - 8x + 16) = 3x^2 - 24x + 48

2. Combine like terms: x^3 - 49x - x^3 + 8 + 3x^2 - 24x + 48

3. Combine the terms with the same variables and their exponents: -49x + 8 - 24x + 3x^2 - 49x^2 + 48

4. Combine constants and coefficients: -49x^2 - 73x + 56

So, the simplified expression is: -49x^2 - 73x + 56