## Algebra 1

$6x^{3} + 2x^{2}$
The Area of a rectangle is the product of its length and breadth. Hence, Area = $2x$ X ($3x^{2} + x)$ By the distributive property, Area = $2x$ X $3x^{2}$ + $2x$ X $x$ Now, $2x$ X $3x^{2}$ = $2$ X $3$ X $x^{1+2}$ = $6x^{3}$ $2x$ X $x$ = $2x^{1+1}$ = $2x^{2}$ (Since the exponents are added while multiplying with the same base) Final result : Area = $6x^{3}$ + $2x^{2}$