Breaking Down the Expression: 4x² + 6x into Basic Terms

To break down the expression$4x^2 + 6x$ into its basic terms, we need to look for a common factor in both terms.

The first term is $4x^2$, which can be rewritten as $4\cdot x\cdot x$.

The second term is$6x$, which can be rewritten as $2\cdot 3\cdot x$.

The common factor between the terms is $x$.

Thus, the expression can be broken down into $4\cdot x^2 + 6\cdot x$, and further rewritten with common factors as $4\cdot x\cdot x + 6\cdot x$.