Question

Simplify the following . ( 3.5 x - 1.5 y ) square - ( 1.5 x - 3.5 y ) square . Class 8 math solution

Answer 1

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

(3.5x-1.5y)²-(1.5x-3.5y)²

( 2 )². -. (-2)²

4. -. 4

0

Answer 2

Answer:

10x² + 10y²

Explanation:

As per the information provided in the question, We have :

(3.5x - 1.5y)² – (1.5x - 3.5y)²

We are asked to simplify it. In order to that, We will use suitable identity where ever needed.

Simplifying (3.5x - 1.5y)² using the identity (a - b)² = a² + b² - 2ab,

⇒(3.5x - 1.5y)² – (1.5x - 3.5y)²

⇒12.25x² – 2.25y² - 10.5xy – (1.5x - 3.5y)²

Simplifying (1.5x - 3.5y)² using the same identity,

⇒12.25x² - 2.25y² - 10.5xy – 2.25x² + 12.25y² + 10.5xy

Adding/Subtracting like terms in the expression,

⇒12.25x² - 2.25y² - 10.5xy – 2.25x² + 12.25y² + 10.5xy

⇒12.25x² - 2.25x² + 12.25y² - 2.25y² - 0

⇒10x² + 10y²

$\rule{200}2$