what is (a+b)^2= ?

Answer 1

a^2 + b^2 + 2ab

Answer 2

(a+b)^2
= (a+b)(a+b)
= a(a+b) + b(a+b)
= a^2 +a*b + a*b + b^2
= a^2 + 2*a*b + b^2

Answer 3

a^2 + b^2

Answer 4

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

Answer 5

a^2 + 2ab + b^2

Answer 6

a^2+b^2+2ab

if the degree greater, use pascal triagle to find the coefficients.

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
...............

Answer 7

(a+b)(a+b), which factors to a²+ab+ab+b², or a²+2ab+b²

I am so tired of people prescribing wikipedia for every single question. It isn't even a reliable source. Anyone can screw around with the entries and it usually takes days for it to be "corrected". From now on, I am immediately going to give a negative rating whenever I see someone cite that as their source or suggest that someone find their answers there.

Answer 8

a^2+2ab+b^2

Answer 9

(a+b)^2 = (a+b) (a+b)
Now you multiply such that each term multiplies both terms on the other expression.
i.e,
aa + ab + ab + bb = a^2 + 2ab + b^2

You can easily figure any (a+b)^n where n is an integer (or even fraction) with the binomial theorem without continuous multiplication.
The above link is worth visiting but for most purposes the simplest version of the theorem will suffice.
http://en.wikipedia.org/wiki/Binomial_theorem

Answer 10

FOIL Method

(a + b)²

(a + b)(a + b) = a² + ab + ab + b²= a² + 2ab + b²

The answer is a² + 2ab + b²