Question

Simplify the expression ((3u - 6)(7u^2 + 2u - 4)) when (u) is raised to the power of 2.

a) (21u^3 - 24u^2 - 18u + 24)
b) (21u^3 - 24u^2 - 18u - 24)
c) (21u^4 - 24u^2 - 18u + 24)
d) (21u^4 - 24u^2 - 18u - 24)

Answer 1

The expression ((3u - 6)(7u^2 + 2u - 4)) when u is squared is expanded and simplified to (21u^3 - 30u^2 - 30u + 36), which does not match any of the provided options.

Step-by-step explanation:

The question is asking us to simplify the expression ((3u - 6)(7u^2 + 2u - 4)) when u is raised to the power of 2. This involves the process of expanding the products of two binomials and combining like terms where necessary.

Focusing on the expression given:

1. Multiply each term in the first parenthesis by each term in the second parenthesis.
2. Combine like terms.

After expanding, we get:

(21u^3 - 42u^2 + 6u^2 - 12u - 18u + 36)

Now combine like terms:

(21u^3 - 36u^2 + 6u^2 - 12u - 18u + 36)

Which simplifies to:

(21u^3 - 30u^2 - 30u + 36)

None of the given options match the simplified expression exactly, so there may be an error in the options provided, or a misinterpretation of the question.