Question

multiply the binomials using the area (box) method. fill out the table and then submit your final answer below. remember to use the ^ key to type an exponent (shift 6) (2x - 3)(x - 5)

Explanation:

Step1: Multiply terms in box method

• Multiply the first - terms: $(2x)\times(x)=2x^{2}$.
• Multiply the outer - terms: $(2x)\times(-5)=-10x$.
• Multiply the inner - terms: $(-3)\times(x)=-3x$.
• Multiply the last - terms: $(-3)\times(-5)=15$.

Step2: Combine like terms

The like terms are $-10x$ and $-3x$. Combine them: $-10x-3x=-13x$.
The result of $(2x - 3)(x - 5)$ is $2x^{2}-13x + 15$.

Answer:

$2x^{2}-13x + 15$