Question

Given the equation (x+a)^2(x-2)=x^3+bx^2+12x-72 find a and b

Answer 1

Isolate the variable by dividing each side by factors that don't contain the variable.

$a=- \frac{ x^{2}- \sqrt{( x^{3} + x^{2} b+12x-72(x-2)-2x} }{x-2} ,- \frac{ x^{2}+ \sqrt{( x^{3} + x^{2} b+12x-72(x-2)-2x} }{x-2}$

Solve for b by simplifying both sides of the equation then isolating the variabel.

$b= \frac{12}{x}+ \frac{72}{ x^{2} }-2+2a- \frac{4a}{x}+ \frac{ a^{2} }{x}- \frac{2a^{z} }{ x^{2} }$

Hopefully i helped ^.^ Mark brainly if possible