Question

(a + b)² is equal to *
2 points
(a) a² + b² – 2ab
(b) a² + b² + 2ab
(c) a² + b²
(d) 2ab.​

Answer 1

Answer:

$\huge\sf\fbox\pink{ (a) a² + b² – 2ab }$

Hope it helps you

Answer 2

From the given question the correct answer is:

(b) a² + b² + 2ab

(a + b)²= a² + b² + 2ab

we will prove the expression by algebraic method

so,

We know that,

we have to Proof of  formula in Algebraic Method (a + b)²= a² + b² + 2ab

So,

(a + b)²=(a+b) ×(a+b)

(a + b)²=a(a+b)+b(a+b)

(a + b)²=a²+ab+ba+b²

we know that,

the commulative property is about the product of a and b is equal to prodect of b and a.

∴ab=ba

so, we can write =ab +ba

                             =ab+ab (∴ab=ba)

                             =2ab

(a + b)²=a²+ab+ba+b²

so,  (a + b)²=a²+2ab+b²

∴ (a + b)²= a² + b² + 2ab

Henced proved.