Question

(3x-2) ^2=(3x+8)^2
M pueden ayudar

Answer 1

Aplicando la fórmula del binomio al cuadrado:

${(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}$
${(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2}$

${(3x - 2)}^{2} = {(3x + 8)}^{2} \\ {(3x )}^{2} - 2(3x)(2) + {(2)}^{2} = {(3x)}^{2} + 2(3x)(8) + {(8)}^{2} \\ 9 {x}^{2} - 12x + 4 = 9 {x }^{2} + 48x + 64 \\ 9 {x}^{2} - 9 {x}^{2} - 12x - 48x = 64 - 4 \\ - 60x = 60 \\ x = \frac{60}{ - 60} \\ x = - 1$