Q87. - Algebra 1

Question

Find each product.

$\left(2x-1\right)\left(x+9\right)$

Step-by-Step Solution

Answer

The product of $\left(2x-1\right)\left(x+9\right)$ is $\mathbf{2}{x}^2+\mathbf{17}x-\mathbf{9}$.

Step 1. Write distributive property.

For any numbers, a,b and c, $a\left(b+c\right)=ab+ac$.

Step 2. Apply the distributive property.

Apply the distributive property to the given expression.

$2x\left(x+9\right)-1\left(x+9\right)=2x\cdot x+2x\cdot 9-1\cdot x-1\cdot 9$

Step 3. Multiply and simplify.

Multiply terms in the above expression and simplify them further.

$2x^2+18x-x-9=2x^2+17x-9$

 

Therefore, the product of $\left(2x-1\right)\left(x+9\right)$ is $2x^2+17x-9$.