Question

1 write an expression for the area of the rectangle below.
a.) area = ( 3x + 2 )( x + 3 )

Explanation:

Step1: Use FOIL method

$(3x + 2)(x+3)=3x\times x+3x\times3 + 2\times x+2\times3$

Step2: Simplify each term

$3x\times x = 3x^{2}$, $3x\times3=9x$, $2\times x = 2x$, $2\times3 = 6$

Step3: Combine like - terms

$3x^{2}+(9x + 2x)+6=3x^{2}+11x + 6$

Answer:

$3x^{2}+11x + 6$