Question

find the product. simplify your answer.\\(d^{2}(d^{2} + 2d + 4)\\)

Explanation:

Step1: Distribute $d^2$ to each term

$d^2 \times d^2 + d^2 \times 2d + d^2 \times 4$

Step2: Simplify each product

Use exponent rule $a^m \times a^n = a^{m+n}$:
$\displaystyle d^{2+2} + 2d^{2+1} + 4d^2$

Step3: Calculate exponents

$\displaystyle d^4 + 2d^3 + 4d^2$

Answer:

$\displaystyle d^4 + 2d^3 + 4d^2$