Question

(x+2y)^2=x^2+____+4y^2​

Answer 1

Answer is 4xy.

$(x + 2y) {}^{2} = (x ){}^{2} + 2.x.2y + ( {2y)}^{2} \\ \\ = x {}^{2} + 4xy + 4 {y}^{2}$

Answer 2

Answer:

4xy

using identity. ( a+b)^2 = a^2 + b^2 + 2ab

(x+ 2y)^2= x^2 + _____+ 4y^2

x^2 + 4y^2 + 4xy = x^2 + 4xy + 4y^2

More identity

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

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

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

# Be brainly