Question

( 7/2 a - 5/2 b )² ( 5/2 a - 7/2 b )²​

Answer 1

Step-by-step explanation:

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Question :-

( 7/2 a - 5/2 b )² ( 5/2 a - 7/2 b )²

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Solution :-

According to the bodmas theory :-

BODMAS stands for Bracket , Of, Division, Multiplication, Addition, and Subtraction. ... According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition and at the end Subtraction.

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(7/2a - 5/2b)² - (5/2a - 7/2b)²,

[(7/2a - 5/2b)+(5/2a - 7/2b)] [(7/2a - 5/2b)-(5/2a - 7/2b)],

On solving :-

[7/2a - 5/2b + 5/2a - 7/2b] [7/2a - 5/2b - 5/2a +7/2b],

[(7/2a + 5/2a) - (5/2b + 7/2b)] [(7/2a - 5/2a) + (7/2b - 5/2b)],

on multiplying

[(7+5)/2a - (5+7)/2b] [(7-5)2a + (7-5)/2b],

similarities :-

[12/2a - 12/2b] [2/2a + 2/2b],

[6a - 6b] [a + b],

[6(a - b)] [a+b],

Applying (a - b)(a+b)=(a²-b²)

=> 6(a² - b²)

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