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3 votes
Find the product (x + 2)(x + 3)​

2 Answers

3 votes

Hello!

Answer:


\Large \boxed{\sf x^2 + 5x + 6}

Explanation:

We want to find the product of this expression:


\sf (x + 2)(x + 3)

We have this formula:


\sf (x+a)(x+b) = ab + ax+bx+x^2

Apply the formula:


\sf (x + 2)(x + 3)\\\\ = 2 * 3 + 2 * x + 3 * x+ x^2\\\\= 6 + 2x + 3x + x^2\\\\\boxed{\sf = x^2 + 5x + 6}

User Etherealm
by
8.0k points
6 votes

Final Answer:


  • \bf{x^2+5x+6}

In-depth explanation:

Hi! This question is asking us to find the product of (x + 2)(x + 3)​.

To solve this, I am going to use FOIL:

  • First
  • Outer
  • Inner
  • Last

Multiplying the first terms gives us x².

Multiplying the outer terms gives us 3x.

Multiplying the inner terms gives us 2x.

Multiplying the last terms gives us 6.

We get
\bf{x^2+3x+2x+6}, which simplifies to
\bf{x^2+5x+6}.

User Dheerosaur
by
8.5k points

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