Question

Amrit and Pankaj expanded (x − 5 )², Amrit's answer is (x² − 25) and Pankaj's answer is x² − 10 x + 25. which of the following statement is correct?​

Answer 1

Answer:

Pankaj's answer is correct

Step-by-step explanation:

(x-5)²

=(x-5)(x-5)

=x²-10x+25

Answer 2

Answer:

• Expand (x - 5)²
• Amrit's Answer = (x² - 25)
• Pankaj's Answer = x² - 10x + 25

• Let's expand the given equation :

⇒ (x - 5)²

• We will expand in the form of (a - b)² = a² - 2ab + b²

⇒ (x)² - (2 × x × 5) + (5)²

⇒ x² - 10x + 25

So we can see that Pankaj's answer is correct according to the expansion of the equation.

∴ Hence, Pankaj's Answer is correct.

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Let's check what error Amrit did while expand the equation.

⇒ (x² - 25)

⇒ (x)² - (5)²

• (a² - b²) = (a + b)(a - b)

⇒ (x + 5)(x - 5)

Amrit did the expansion of (x² - 5²) instead of (x - 5)², that's why his statement is wrong.