Question

1. $(2x^{2}+4)(9x^{2}-6x + 5)$

Explanation:

Step1: Distribute $2x^2$ to each term

$2x^2 \cdot 9x^2 + 2x^2 \cdot (-6x) + 2x^2 \cdot 5$
$= 18x^4 - 12x^3 + 10x^2$

Step2: Distribute 4 to each term

$4 \cdot 9x^2 + 4 \cdot (-6x) + 4 \cdot 5$
$= 36x^2 - 24x + 20$

Step3: Combine like terms

$18x^4 - 12x^3 + (10x^2 + 36x^2) - 24x + 20$
$= 18x^4 - 12x^3 + 46x^2 - 24x + 20$

Answer:

$18x^4 - 12x^3 + 46x^2 - 24x + 20$