Break Down the Expression: Simplifying 5x² + 10 into Basic Terms

Question

Break down the expression into basic terms:

5x2+10 5x^2 + 10

Step-by-Step Solution

To break down the expression 5x2+10 5x^2 + 10 , identify the common factors.

The first term is 5x2 5x^2 , which can be rewritten as 5xx 5\cdot x\cdot x .

The second term is 10 10 , which can be rewritten as 52 5\cdot 2 .

Notice that both terms share a common factor of 5 5 .

This allows the expression to be broken down to 5(x2)+10 5(x^2) + 10 , which translates to 5xx+10 5\cdot x\cdot x + 10 using common terms.

Answer

5xx+10 5\cdot x\cdot x+10