Question

Explain how to simplify x(2x + 3x2). You may indicate an exponent in your answer with ^. For example, 3x2 as 3x^2.

Answer 1

Use the distributive property, which states that for any numbers a, b, and c:
\[a(b+c) = ab + ac\]Applying this to your problem, we get
\[x(2x+3x^{2})\]\[x\cdot2x + x\cdot3x^{2}\]\[2x^{2} + 3x^{3}\]Putting it in the correct order gives:\[3x^{3}+2x^{2}\]