(x+2)(x+3) = x \cdot x + x \cdot 3 + 2 \cdot x + 2 \cdot 3
= x^2 + 3x + 2x + 6
= x^2 + 5x + 6
(x+2)(x+3)\boxed{x^2 + 5x + 6} .
Frequently asked questions (FAQs)
Question: In triangle ABC, the angle bisector of angle B divides side AC into segments AD and DC. If AD = 6x - 8 and DC = 4x + 10, find the value of x.
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Question: What is the sum of the measures of the interior angles in a scalene triangle with angle measures of 60°, 80°, and 40°?
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Question: Graph the inequality -2x + 3y ≥ 6 and shade the region that represents the solution set on the coordinate plane.