Expand the expression (2xy^2+4x^2h^2)^2

 Exercise

$\left(2xy^2+4x^2h^2\right)^2$

 

Expand the expression $\left(2xy^2+4x^2h^2\right)^2$ using the square of a binomial

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

 

Take the square of the first term: $2xy^2$

$4x^{2}y^{4}$

 

Twice ($2$) the product of the two terms: $2xy^2$ and $4x^2h^2$

$16x^{3}y^2h^2$

 

Take the square of the second term: $4x^2h^2$

$16x^{4}h^{4}$

 

Add the three results, and we obtain the expanded polynomial

$4x^{2}y^{4}+16x^{3}y^2h^2+16x^{4}h^{4}$

$4x^{2}y^{4}+16x^{3}y^2h^2+16x^{4}h^{4}$

 Try other ways to solve this exercise

Can't find a method? Tell us so we can add it.