Question

simplify: (2x + 3)(3x + 5)

Explanation:

Step1: Apply FOIL method

Multiply first terms: $2x \times 3x = 6x^2$
Multiply outer terms: $2x \times 5 = 10x$
Multiply inner terms: $3 \times 3x = 9x$
Multiply last terms: $3 \times 5 = 15$

Step2: Combine like terms

Add the linear terms: $10x + 9x = 19x$

Step3: Combine all terms

Assemble the simplified polynomial: $6x^2 + 19x + 15$

Answer:

$6x^2 + 19x + 15$