Question

1. (a+b)^2
2.a^2-b^2​

Answer 1

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Step-by-step explanation:

1. a^2+2ab+b^2
2. (a+b)(a-b)

Answer 2

EXPLANATION:

1) We have (a+b)^2. We need to prove the equation.

Hence, the equation can be proved as:

⇒ (a + b)² = ( a + b ) × ( a + b )

                = a² + ab + ba + b²

                = a² + 2ab + b²

Hence, proved.

2) We have a² - b². We have to prove the equation.

Hence, the formula can be expressed as :

⇒ a² - b² = ( a + b ) × ( a - b )

We multiply ( a + b ) and  ( a - b ) to form the equation.

⇒ a( a + b) - b( a + b )

⇒ a² + ab - ab - b²

⇒ a² + 0 - b²

⇒ a² - b²

Hence, Proved.