Question

For any two integers a and b, (a + b)2 = a? + b2

Answer 1

(a+b)2 = a2 + b2

Explanation:

Answer 2

`(a+b)^2=a^2+2ab+b^2`

Explanation:

We have been given an incomplete statement
`(a+b)^2=a?+b^2`. We are supposed to complete the given statement.

We can see that left side of our given equation represents a perfect square. The right side of equation would be perfect square trinomial.

Let us use perfect square formula to expand our given perfect square as:

`(x+y)^2=x^2+2xy+y^2`

Substitute
`x=a` and
`y=b`:

`(a+b)^2=a^2+2ab+b^2`

Therefore, the complete statement would be
`(a+b)^2=a^2+2ab+b^2`.