Question

use identity and solve ( 2x-3/y)²​

Answer 1

Answer:

Using Identity :

$(a - b)^{2} = {a}^{2} - 2ab + {b}^{2}$

Considering 2x as a and 3y as b

$(2x - 3y) ^{2}$

${2x}^{2} - 2(2x)(3y) + 3y ^{2}$

$4x ^{2} - 12xy + 9y ^{2}$

Answer 2

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Question : Solve ( 2x - 3y ) ² using identity.

Using the identity → ( a - b ) ² = a² - 2ab + b²

In the question, let us take 2x as the variable a & 3y as the variable b.

Solving the question using identity,

( 2x - 3y ) ² = ( 2x )² - 2 × 2x × 3y + 3y²

⇒ 4x² - 12xy + 9y²