Question

if (x+y)=5 and (x-y)=-3,then the value of x^2 -y^2​

Answer 1

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Answer 2

$\huge\cal\purple{\underline{\underline{Answer\::}}}$

Given:⠀⠀⠀(x+y) =5

⠀ ⠀⠀⠀⠀ ⠀ (x+y) = -3

To find:

The value of $x^2 - y^2$

Solution:

We know that, $(a+b)(a-b) = a^2 - b^2$

By this we can write,

$x^2 - y^2 = (x+y)(x-y)$

$\purple\Rightarrow (5) (-3) ⠀⠀⠀[Given]$]

$\purple\Rightarrow -15$

$\therefore$ The value of $x^2 - y^2$ is 15.

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