For each expression, select all equivalent expressions from the list.

1 answer:

4 0

For (a), it would be the first one and the last one, since all of the factors are terms with variables attached and cannot be disconnected from one another.

For (b), it would be the second one since you have to use distributive property, and when the 2 is multiplied by the 8, there has to be a 16 in the mix somewhere.

Hope this helps!

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A rectangle has a heigh if 4x^3 and a width of x^3+3x^2+2x

Andrews [41]

Answer:

Area = $4x^6+12x^5+8x^4$

Step-by-step explanation:

The Complete Question:

A rectangle has height $4x^3$ and width $x^3+3x^2+2x$ . What is the area of the rectangle in terms of x?

Solution:

The formula for the area of a rectangle is:

Area = Height * Width

Both the expressions for height and width is given, so we just need to multiply both the expressions to get an expression, in x, for the area of the rectangle. The algebra is shown below:

$A=(4x^3)(x^3+3x^2+2x)\\A=4x^6+12x^5+8x^4$