To simplify the expression (x^2 + 16x + 64)(x^2 - 2x - 80) completely, we can first expand the expression using the FOIL method.
(x^2 + 16x + 64)(x^2 - 2x - 80) = x^2 * x^2 + x^2 * (-2x) + x^2 * (-80) + 16x * x^2 + 16x * (-2x) + 16x * (-80) + 64 * x^2 + 64 * (-2x) + 64 * (-80)
Simplifying each term, we get:
x^4 - 2x^3 - 80x^2 + 16x^3 - 32x^2 - 1280x + 64x^2 - 128x - 5120
Combining like terms, we have:
x^4 + (16x^3 - 2x^3) + (-80x^2 - 32x^2 + 64x^2) + (-1280x - 128x) - 5120
Simplifying further:
x^4 + 14x^3 + 32x^2 - 1408x - 5120
This expression cannot be simplified any further. Thus, the simplified expression is:
x^4 + 14x^3 + 32x^2 - 1408x - 5120
Simplify the following expression completely.
(x^2 + 16x + 64)(x^2 - 2x - 80)
Answer must be (x)/(x)
1 answer