Question

The following polynomial can be factored using the techniques of this lesson x^2-18

Answer 1

Answer:

$(x+3\sqrt{2})(x-3\sqrt{2})$

Step-by-step explanation:

The given expression is $x^2-18$.

The technique that can be used to factor this polynomial is the difference of two squares.

We rewrite the two expressions as;

$x^2-(\sqrt{18})^2$

Recall that;

$a^2-b^2=(a+b)(a-b)$

$x^2-(\sqrt{18})^2=(x+\sqrt{18})(x-\sqrt{18})$

$x^2-(\sqrt{18})^2=(x+3\sqrt{2})(x-3\sqrt{2})$

Answer 2

Answer:

The answer is false.

Step-by-step explanation: