Question

Find each product.

$a\left(a^2+\mathbf{2}a-\mathbf{10}\right)$

Short answer

The product of$a\left(a^2+2a-10\right)$ is $a^3+\mathbf{2}{a}^2-\mathbf{10}a$.

Step-by-step solution

Step 1. Write distributive property.

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

Step 2. Apply distributive property.

Apply distributive property to the given expression.

$a\cdot a^2+a\cdot 2a-a\cdot 10$

Step 3. Multiply.

Multiply terms in the above expression.

$a^3+2a^2-10a$

Therefore, the product of$a\left(a^2+2a-10\right)$ is $a^3+2a^2-10a$.