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

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03-11-2022
Mathematics

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

Sagot :

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SevakP67833 SevakP67833 · Answer 1 · 2022-11-03T02:33:20-04:00

Given:

[tex](4x^2+2)(6x^2+8x+5)[/tex]

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

[tex]\begin{gathered} (4x^2+2)(6x^2+8x+5) \\ =(4x^2)(6x^2+8x+5)+(2)(6x^2+8x+5) \\ \end{gathered}[/tex]

Next, expand by distributing tems:

[tex]\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}[/tex]

Therefore, the answer is:

[tex]24x^4+32x^3+32x^2+16x+10[/tex]

Sagot :

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