Question

expand (√2x - 3y)^2​

Answer 1

HØLa


Solution =>

ÏT ÏS based on Formula

(a - b)² = a² - 2ab + b²

(√2x - 3y) ² = 2x² - 2x√2x3y + 9y²

= 2x² - 6√2xy + 9y²

HöPe ïT hèLps Ya ⭐〰⭐

Answer 2

Given,

An expression (√2x - 3y)².

To find,

Expand the expression.

Solution,

The given expression is of the form of (a-b)² where a = √2x and b = 3y.

The expansion of (a-b)² is a²-2ab+b².

Similarly, the expansion of  (√2x - 3y)².-

Expanding it the same way as expanding (a-b)² we get,

⇒  (√2x)²-2(√2x)(3y)+(3y)²

⇒  2x²-6√2xy + 9y².

Hence, the expansion of  (√2x - 3y)² is 2x²-6√2xy + 9y².