Question

Show that :- (2t + 5)² - 40t = (2t - 5)²​

Answer 1

Answer:

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Answer 2

$\color{red}{QUESTION}$

Show that :- (2t + 5)² - 40t = (2t - 5)²

$\color{blue}{ANSWER}$

Taking L.H.S

=> (2t + 5)² - 40t

using the identity: (a + b)² = a² + b² +2ab we get,

=> 4t² + 25 + 20t - 40t

Subtracting the like teams we get,

=> 4t² +25 - 20t

by this we can see that, 4t² - 20t +25 is making the identity of (a - b)² = a² -2ab +b²

So, we get

=> (2t - 5)²

Hence, L.H.S = R.H.S

(2t - 5)² = (2t - 5)²

Hence, proved