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27 votes
27 votes
Expand and simplify (x+3)(x+5)

User Grimgrom
by
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2 Answers

20 votes
20 votes

Answer: x ^ 2 + 8x + 15

Step-by-step explanation: You can use the FOIL method to multiply. F - first two variables, so the two x.

x • x = x^2

O - outside, the outermost variables in the parenthesis, which would be x and 5.
x • 5 = 5x

I - inside, the innermost variables in the parenthesis, which would be x and 3.

x • 3 = 3x

L - last two variables, so 3 and 5.

3 • 5 = 15

Altogether:
x^2 + 5x + 3x + 15, which simplifies to x^2 + 8x + 15.


Image & example for clarity! Hope this helped!

Expand and simplify (x+3)(x+5)-example-1
Expand and simplify (x+3)(x+5)-example-2
Expand and simplify (x+3)(x+5)-example-3
User Sunil Sapkota
by
3.2k points
6 votes
6 votes

Answer:

x^{2} +8x+15

Explanation:

Use Distributive Property:

(x+3)(x+5)


x^(2)+5x+3x+15


x^(2) +8x+15 Answer

User Shoaib Khan
by
2.9k points