Question

(457+452)² - 4 x 475 x 452 =​

Answer 1

Answer:

{(476 + 424)2 - 4 x 476 x 424} = ?

[A]. 2906

[B]. 3116

[C].

2704 @

[D]. 2904

[E]. None of these

Answer: Option C

Explanation:

Given Exp. = [(a + b)2 - 4ab], where a = 476 and b = 424

= [(476 + 424)2 - 4 x 476 x 424]

= [(900)2 - 807296]

= 810000 - 807296

= 2704.

Answer 2

(457 + 452)² - 4 × 457 × 452 = 25

Given :

The expression (457 + 452)² - 4 × 475 × 452

To find :

The value of the expression

Formula :

• (a + b)² = a² + 2ab + b²

• (a - b)² = a² - 2ab + b²

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(457 + 452)² - 4 × 457 × 452

Step 2 of 2 :

Simplify the given expression

(457 + 452)² - 4 × 457 × 452

We take a = 457 & b = 452

Then we have

(457 + 452)² - 4 × 457 × 452

= (a + b)² - 4ab

= a² + 2ab + b² - 4ab [ ∵ (a + b)² = a² + 2ab + b² ]

= a² - 2ab + b²

= (a - b)² [ ∵ (a - b)² = a² - 2ab + b² ]

= (457 - 452)² [ Putting values of a and b ]

= (5)²

= 25

Hence we get

(457 + 452)² - 4 × 475 × 452 = 25

Correct question : (457 + 452)² - 4 × 457 × 452 =

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