Question

(a-b)2 ka formula with solutions ​

Answer 1

Correct question:

What is the formula for (a-b)²?

Solution:

(a-b)² = a² - 2ab + b ²

Let's see how we obtained a² - 2ab + b ² from (a-b)²:

(a-b)²

= (a-b) (a-b)

$\bigstar {\sf {Using\ distributive\ property}}$

= a(a-b) - b(a-b)

= a² - ab - ab + b²

$\bigstar {\sf {Adding\ the\ like\ terms\ (-ab)}}$

= a² - 2ab + b²

Thus, we have obtained, (a-b)² = a²-2ab+b².

Other algebraic identities:

• (a+b)² = a² + 2ab + b²
• (a-b)² = a² - 2ab + b ²
• a² - b² = (a+b) (a-b)
• (x+a) (x+b) = x² + (a+b)x + ab

Answer 2

Answer:

$(a - b) {}^{2} = {a}^{2} + {b }^{2} - 2ab$