Question

question
express the product $\left(\sqrt{10}+3\
ight)\left(\sqrt{10}-3\
ight)$ in simplest form.
answer attempt 1 out of 2

Explanation:

Step1: Apply difference of squares

Recall the identity $(a+b)(a-b)=a^2-b^2$. Here, $a=\sqrt{10}$, $b=3$.
$$(\sqrt{10}+3)(\sqrt{10}-3)=(\sqrt{10})^2 - 3^2$$

Step2: Simplify each squared term

Calculate the squares of the terms.
$$(\sqrt{10})^2 - 3^2 = 10 - 9$$

Step3: Compute the final subtraction

Subtract the two values.
$$10 - 9 = 1$$

Answer:

$1$