Question

Factorise the following algebraic expression by using suitable identify 2x²-18​

Answer 1

Answer:

2(x + 3)(x - 3)

Step-by-step explanation:

Before factorizing the equation, we have to simplify it further. To do that, we can take 2 common out of the expression.

2(x² - 9)

Now, x² is a perfect square (of x) and 9 is a perfect square (of 3).

Since we are subtracting a perfect square from another, the following identity can be used to simplify it further:

(a² - b²) = (a + b)(a - b)

So,

2(x² - 9) = 2(x + 3)(x - 3)

Hope it helps!