Question

Desenvolva os seguintes produtos notáveis:
$A) (2x+3y)^{2} =\\\\B)(5a-7)^2=\\\\\\C) (8d+2y)(8d-2y)=\\\\\\D) (10x^2+6yz)^2\\\\\\E) (9+12m)(9-12m)=\\\\\\F)(x-\frac{1}{2})^2$

Answer 1

Olá EinsteinBrainly!

A)

$\huge {\boxed {\sf \left ( 2x +3y \right )^2 = 2x^2+ 2 \centerdot 2x \centerdot 3y+ 3y^2 }}$

$\huge {\boxed {\boxed {\sf 2x^2 + 12xy+ 3y^2}}}$

B)

$\huge {\boxed {\sf \left ( 5a-7 \right )^2 = 5a^2 - 2 \centerdot 5a \centerdot 7 + 7^2}}$

$\huge {\boxed {\sf 5a^2 - 70a+ 49}}$

C)

$\huge {\boxed {\sf \left ( 8d+2y \right ) \left ( 8d-2y \right ) = 8d^2 - 2y^2 }}$

D)

$\huge {\boxed {\sf \left ( 10x^2 + 6yz \right ) ^2 = \left (10x^2 \right )^2 + 2 \centerdot 10x^2 \centerdot 6yz + 6yz^2 }}$

$\huge {\boxed {\sf 10x^4 + 120x^2yz + 6yz^2}}$

E)

$\huge {\boxed {\sf \left ( 9+12m \right ) \left ( 9-12m \right ) = 9^2 - 12m^2 }}$

F)

$\huge {\boxed {\sf \left ( x - \cfrac{1}{2} \right )^2 = x^2 + 2 \centerdot x \centerdot \cfrac{1}{2} + \left ( \cfrac{1}{2} \right )^2 }}$

$\huge {\boxed {\sf x^2+ x + \cfrac{1}{4} }}$

• Att. MatiasHP