Question

(y – x) (y + x) is equal to which of the following: [ ]
A) y^2 – yx B) yx – x^2 C) y^2 – x^2 D) x^2 – y^2

Answer 1

Answer:

c) y^2 - x^2

Step-by-step explanation:

(y – x) (y + x)                        

using identity (y – x) (y + x) = y^2 - x^2

Thus, the answer is c.

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Answer 2

(y – x) (y + x) = y² - x²

Given :

The expression (y – x) (y + x)

To find :

(y – x) (y + x) is equal to

A) y² - yx

B) yx - x²

C) y² - x²

D) x² - y²

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (y – x) (y + x)

Step 2 of 2 :

Simplify the given expression

$\displaystyle \sf{(y - x)(y + x) }$

$\displaystyle \sf{ = y (y + x)- x(y + x) }$

$\displaystyle \sf{ = {y}^{2} + xy - xy - {x}^{2} }$

$\displaystyle \sf{ = {y}^{2} - {x}^{2} }$

Hence the correct option is C) y² - x²

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