To expand the expression to a polynomial in standard form, you need to distribute each term in the first bracket to each term in the second bracket.

First, distribute -3x to each term in the second bracket:

-3x * 2x^2 = -6x^3
-3x * 8x = -24x^2
-3x * 1 = -3x

Then, distribute -1 to each term in the second bracket:

-1 * 2x^2 = -2x^2
-1 * 8x = -8x
-1 * 1 = -1

Now, add all these terms together:

-6x^3 - 24x^2 - 3x - 2x^2 - 8x - 1

Combine like terms:

-6x^3 - (24x^2 + 2x^2) - (3x + 8x) - 1

This simplifies to:

-6x^3 - 26x^2 - 11x - 1

So, the expression (−3x−1)(2x^2 +8x+1) expands to -6x^3 - 26x^2 - 11x - 1 in standard form.

Question

To expand the expression to a polynomial in standard form, you need to distribute each term in the first bracket to each term in the second bracket.

First, distribute -3x to each term in the second bracket:

-3x * 2x^2 = -6x^3
-3x * 8x = -24x^2
-3x * 1 = -3x

Then, distribute -1 to each term in the second bracket:

-1 * 2x^2 = -2x^2
-1 * 8x = -8x
-1 * 1 = -1

Now, add all these terms together:

-6x^3 - 24x^2 - 3x - 2x^2 - 8x - 1

Combine like terms:

-6x^3 - (24x^2 + 2x^2) - (3x + 8x) - 1

This simplifies to:

-6x^3 - 26x^2 - 11x - 1

So, the expression (−3x−1)(2x^2 +8x+1) expands to -6x^3 - 26x^2 - 11x - 1 in standard form.

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