Multiply the polynomials: $$ (2x + 3)(3x + 4) $$

Question

UpStudy AI · Accepted Answer

To multiply the polynomials $$ (2x + 3)(3x + 4) $$, you can use the distributive property (also known as the FOIL method for binomials). Here's a step-by-step breakdown:

1. **First terms:** Multiply the first terms in each binomial.
   $$
   2x \times 3x = 6x^2
   $$

2. **Outer terms:** Multiply the outer terms.
   $$
   2x \times 4 = 8x
   $$

3. **Inner terms:** Multiply the inner terms.
   $$
   3 \times 3x = 9x
   $$

4. **Last terms:** Multiply the last terms in each binomial.
   $$
   3 \times 4 = 12
   $$

5. **Combine all the products:**
   $$
   6x^2 + 8x + 9x + 12
   $$

6. **Combine like terms (the $$ x $$ terms):**
   $$
   6x^2 + (8x + 9x) + 12 = 6x^2 + 17x + 12
   $$

**Final Answer:**
$$
6x^2 + 17x + 12
$$
Multiply the polynomials $$ (2x + 3)(3x + 4) $$ to get $$ 6x^2 + 17x + 12 $$.

Multiply the polynomials:

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Algebra Questions