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9 grade maths

Factorise x² - 16.

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

The given expression is x^2 - 16.

This is a difference of squares, which follows the formula:

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

Here, we can rewrite x^2 - 16 as:

x^2 - 16 = x^2 - 4^2.

Now, applying the difference of squares formula:

x^2 - 4^2 = (x - 4)(x + 4).

So, the factorised form of x^2 - 16 is:

(x - 4)(x + 4).