Question

(X+ 9)(x-2) -9x- 6
What expression is equivalent to the given expression?

Answer 1

Answer:

$x^{2}-2x-24$

Step-by-step explanation:

First, expand the parentheses using multiplication:

$(x^{2} -2x+9x-18) -9x-6$

Now we simply combine life terms, giving us:

$x^{2}-2x-24$

Hope this helps!

Answer 2

Hi there! Let's solve this step-by-step!

We need to expand (x + 9)(x - 2) by multiplying the two terms. We can use this rule: (A+B)(C+D)+AC+AD+BC+BD=

In the problem, (X+ 9)(x-2) -9x- 6

The resulting expression will consist of 4 terms:

First term: x and x

Second term: x and -2

Third term: 9 and x

Fourth term: 9 and -2

Now, we expanded (X+ 9)(x-2) to (xx ⋅ 2 + 9x - 9 ⋅ 2)

Our new problem is:  (xx ⋅ 2 + 9x - 9 ⋅ 2) - 9x - 6

Now, we need to combine like factors in this term (xx) by adding up all the exponents and copying the base. No exponent implies the value of 1.

The like factors are: x and x

$(x^1^+^1-2x+9x-18)-9x-6$

Now, your answer is: $x^2-2x-24$

Let me know if you have any questions!