Question

(x-2y)2 =_________________________​

Answer 1

Answer:

x²+4y²-4xy {it is like( a-b)²=a²+b²-2ab}

mark me as brainliest

Answer 2

Answer :

⠀⠀⠀⠀⇨ x² + 4y² - 4xy

Solution :

To Solve :

• (x-2y)²

Method 1 :

Solving using identity :

we know that,

$\red\bigstar\large \boxed{\sf (a-b)^2 = a^2 + b^2 - 2ab}$

we can use this Identity to solve this question.

where,

• a = x
• b = 2y

Lets solve,

$\implies (x-2y)^2 = x^2 + (2y)^2 - 2(x)(2y) \\ \\ \implies x^2 + 4y^2 - 4xy$

Method 2 :

Simplifying :

(x-2y)² can be written as (x-2y)(x-2y).

Let's solve,

• Open the brackets by Multiplying.

➩ x(x-2y) -2y(x-2y)

➩ (x)(x) -(x)(2y) - (x)(2y) -(2y)(-2y)

➩ x² - 2xy - 2xy +4y²

• Adding like terms

➩ x² - 2xy - 2xy +4y²

➩ x² -4xy +4y²

➩ x² + 4y² - 4xy

Hence,

(x-2y)² = x² + 4y² - 4xy

${\fcolorbox{red}{blue}{\orange{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: SugarCrash\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}$