Question

(7+x)2 producto notable

Answer 1

Hola,

$\red{ \underline{\green{ \sf Producto\: Notable:}}}$

• Respuesta:

$\sf \boxed{ \sf \red{ {(7 + x)}^{2} } = \green{x ^{2} + 14x + 49 } }$

• Explicación:

$\sf \green{ \underline{ \red{ \sf Producto\: Notable: }}} \\ \\ \implies \sf\sf (\blue{a} + \orange{b})^{2} = \blue{a}^{2} + 2\blue{a}\orange{b} + \orange{b}^{2}$

$\sf \implies \sf (\underbrace{ \sf \blue{7}}_{\sf \blue{{a}}} + \underbrace{\sf \orange{x}}_{\sf \orange{{b}}}) ^{2} = \blue{7} ^{2} + 2 \times \blue{7} \times \orange{x} + \orange{x} ^{2} \\ \: \: \: \: \: \: \: \: \\ \implies\sf (\underbrace{\sf \blue{7}}_{\sf \blue{{a}}} + \underbrace{ \sf \orange{x}}_{\sf \orange{{b}}}) ^{2} = 49 + 14x + {x}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf (\underbrace{\sf \blue{7}}_{\sf \blue{{a}}} + \underbrace{\sf \orange{x}}_{\sf \orange{{b}}}) ^{2} = \green{ \boxed{ \sf {x}^{2} + 14x + 49 }}\: \: \: \: \: \: \: \: \: \:$