Question

Resolva: (a^2*b + a*b^2) ^2

Answer 1

( a²b + ab²)² =

[ (a²b)² +  2 * a²b * ab² + ( ab²)² ] =  a⁴b²  + 2a³b³  + a²b⁴
Nota Na multiplicação soma expoentes

Answer 2

Olá!

$\mathsf{(a^2b + ab^2)^2 =} \\\\ \mathsf{(a^2b)^2 + 2 \cdot (a^2b) \cdot (ab^2) + (ab^2)^2 =} \\\\ \boxed{\mathsf{a^4b^2 + 2a^3b^3 + a^2b^4}}$


 A saber,

$\mathsf{(a + b)^2 = (a)^2 + 2 \cdot (a) \cdot (b) + (b)^2}$