Question

simplify ( x-y/5-1)(x+y/5+1)​

Answer 1

Answer:

.......... hope it's helpful

Answer 2

$(\frac{x-y}{5}-1)(\frac{x+y}{5}+1)=\frac{x^2+y^2-2xy-25}{25}$

Step-by-step explanation:

Given : Expression $(\frac{x-y}{5}-1)(\frac{x+y}{5}+1)$

To find : Simplify the expression ?

Solution :

Expression $(\frac{x-y}{5}-1)(\frac{x+y}{5}+1)$

Applying algebraic identity,

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

Here, $a=\frac{x-y}{5}$ and b=1

Substitute,

$(\frac{x-y}{5}-1)(\frac{x+y}{5}+1)=(\frac{x-y}{5})^2-(1)^2$

$(\frac{x-y}{5}-1)(\frac{x+y}{5}+1)=\frac{(x-y)^2}{25}-1$

$(\frac{x-y}{5}-1)(\frac{x+y}{5}+1)=\frac{x^2+y^2-2xy-25}{25}$

Therefore, $(\frac{x-y}{5}-1)(\frac{x+y}{5}+1)=\frac{x^2+y^2-2xy-25}{25}$

#Learn more

Find the product of ... (X + Y)×(x - y)

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