Question

for what value of ( m ) is the equation true?
¿para qué valor de ( m ) la ecuación es verdadera?
( x^2 + 10x + 11 = m + (x + 5)^2 - 25 )
enter your answer in the box.
escribe tu respuesta en el recuadro.

Explanation:

Step1: Expand the squared binomial

$(x+5)^2 = x^2 + 10x + 25$

Step2: Substitute into the equation

$x^2 + 10x + 11 = m + x^2 + 10x + 25 - 25$

Step3: Simplify the right-hand side

$x^2 + 10x + 11 = m + x^2 + 10x$

Step4: Cancel like terms on both sides

$11 = m$

Answer:

$11$