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x^2 – y^2 is equal to ______. - Mathematics

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Question

x2 – y2 is equal to ______.

Options

  • (x – y) (х – y)

  • (x + y) (x + y)

  • (x – y) (x + y)

  • (x – 2y) (2x – y)

MCQ
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Solution

x2 – y2 is equal to (x – y) (x + y).

Explanation:

The expression x2 – y2 is a difference of squares, which can be factorized using the formula:

a2 – b2 = (a – b)(a + b)

Here, (a = x) and (b = y).

So, x2 – y2 = (x – y)(x + y).

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Chapter 4: Factorisation - Exercise 4F [Page 90]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 4 Factorisation
Exercise 4F | Q 1. | Page 90
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