Q86. - Algebra 1

Question

Find each product.

$\left(c-6\right)\left(c-5\right)$

Step-by-Step Solution

Answer

The product of $\left(c-6\right)\left(c-5\right)$ is $c^2-\mathbf{11}c+\mathbf{30}$.

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.

$c\left(c-5\right)-6\left(c-5\right)=c\cdot c-c\cdot 5-6\cdot c+6\cdot 5$

Step 3. Multiply and simplify.

Multiply terms in the above expression and simplify them further.

$c^2-5c-6c+30=c^2-11c+30$

Therefore, the product of $\left(c-6\right)\left(c-5\right)$ is $c^2-11c+30$.