Question

Find the product.(4x^2 + 2)(6x^2 + 8x + 5)Type the correct answer in each box. Use numerals instead of words.

Answer 1

Given:

`(4x^2+2)(6x^2+8x+5)`

To find the product, we expand by distributing sum groups.

`\begin{gathered} (4x^2+2)(6x^2+8x+5) \\ =(4x^2)(6x^2+8x+5)+(2)(6x^2+8x+5) \\ \end{gathered}`

Next, expand by distributing tems:

`\begin{gathered} =24x^4+32x^3+20x^2+12x^2+16x+10 \\ \text{Then, collect like terms:} \\ =24x^4+23x^3+(20x^2+12x^2)+16x+10 \\ \text{Simplify} \\ =24x^4+32x^3+32x^2+16x+10 \end{gathered}`

Therefore, the answer is:

`24x^4+32x^3+32x^2+16x+10`