Question

Представьте в виде многочлена выражение (x²+4)² ришите пожалуйста​

Answer 1

Ответ:

(x²+4)² = (x²)²+2x²+4+4²=$x^{4}$+8x²+16

Answer 2

Expression: (x² + 4)²

To represent the expression (x² + 4)² as a polynomial, we need to expand it. The expression (x² + 4)² means that we need to multiply (x² + 4) by itself.

Expanding (x² + 4)²: (x² + 4)² = (x² + 4)(x² + 4)

To multiply these two binomials, we can use the FOIL method, which stands for First, Outer, Inner, Last. It involves multiplying the First terms, then the Outer terms, then the Inner terms, and finally the Last terms.

Using the FOIL method: (x² + 4)(x² + 4) = x² * x² + x² * 4 + 4 * x² + 4 * 4

Simplifying: x⁴ + 4x² + 4x² + 16

Combining like terms: x⁴ + 8x² + 16

Therefore, the expression (x² + 4)² can be represented as the polynomial x⁴ + 8x² + 16.