Question

question 11
to improve your productivity, simplify the following expression using the distributive property.

\\((x+3)(x+7)\\)

• \\(x^2 + 10x + 21\\)
• \\(2x^2 + 21x + 4\\)
• \\(x^2 + 4x + 10\\)
• \\(2x^2 + 4x + 21\\)

Explanation:

Apply the distributive property

$$ (x+3)(x+7) = x(x+7) + 3(x+7) $$

Expand the terms

$$ x(x+7) + 3(x+7) = x^2 + 7x + 3x + 21 $$

Combine like terms

$$ x^2 + (7 + 3)x + 21 = x^2 + 10x + 21 $$

Answer:

• (A) \(x^2 + 10x + 21\) (Correct answer)
• (B) \(2x^2 + 21x + 4\)
• (C) \(x^2 + 4x + 10\)
• (D) \(2x^2 + 4x + 21\)