Question

Use an area model to multiply (-2x-3) (4x+1). Write your answer as a sum.

Answer 1

The product of the two expressions is;

`-8x^2-14x-3`

Step-by-step explanation:

Given the expression;

`(-2x-3)*(4x+1)`

let us use the rectangle area model to multiply the expressions;

The product of the two expressions is the sum of all the areas;

`\begin{gathered} (-2x-3)(4x+1)=-8x^2-12x-2x-3 \\ (-2x-3)(4x+1)=-8x^2-14x-3 \end{gathered}`

Therefore, the product of the two expressions is;

`-8x^2-14x-3`