Question

Hello please perform indicated operation this with steps(x+4)^2(x-2)

Answer 1

We can expand the given expression:

(x + 4)²*(x - 2)

To get the equivalent one:

x³ + 6x² - 32

How to perform the operation?

Here we want to expand the given expression, which is:

(x + 4)²*(x - 2)

First remember the rule:

(a + b)² = a² + 2ab + b²

So we can rewrite the first factor as:

(x + 4)² = x² + 2*4*x + 4²

= x² + 8x + 16

Replacing that in our expression we get:

(x² + 8x + 16)*(x - 2)

Now we can expand that to get:

x²*x + x²*(-2) + (8x)*x + 8x*(-2) + 16*x + 16*(-2)

= x³ - 2x² + 8x² - 16x + 16x - 32

= x³ + 6x² - 32

That is the expression expanded.

Learn more about equivalent expressions:

brainly.com/question/2972832

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