Question

AYUDA!!!!!!!!!!!!!

Tema: Producto Notable
(a+2)(a-2)(a²+4)-(a²+√2)(a²-√2)​

Answer 1

SOLUCIÓN

♛ HØlα!! ✌

⚠ Solo recordemos esto

                                    $\mathbf{Diferencia \: de \: cuadrados}\\\\\boxed{(a+b)(a-b) = a^2-b^2}$

Entonces en el problema

                                          $\underbrace{(a+2)(a-2)}_{(a^2-4)}(a^2+4)-(a^2+\sqrt{2})(a^2-\sqrt{2})\\\\\\\underbrace{(a^2-4)(a^2+4)}_{(a^4-16)}-(a^2+\sqrt{2})(a^2-\sqrt{2})\\\\\\(a^4-16)-\underbrace{(a^2+\sqrt{2})(a^2-\sqrt{2})}_{(a^4-(\sqrt{2})^2)}\\\\\\(a^4-16)-(a^4-(\sqrt{2})^2)\\\\\\(a^4-16)-(a^4-2)\\\\\\a^4-16-a^4+2\\\\\\\boxed{\boxed{\boldsymbol{-14}}}$