What is expand (-b/(2a)-x)^2-b(-b/(2a)-x)+c ?

The solution to expand (-b/(2a)-x)^2-b(-b/(2a)-x)+c is (4x^2a^2+b^2+4bxa)/(4a^2)+(b^2)/(2a)+bx+c

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expand (-b/(2a)-x)^2-b(-b/(2a)-x)+c

expand

(- \frac{b}{2 a} - x)^{2} - b (- \frac{b}{2 a} - x) + c

\frac{4 x ^{2} a ^{2} + b ^{2} + 4 b x a}{4 a ^{2}} + \frac{b ^{2}}{2 a} + b x + c

Solution steps

(- \frac{b}{2 a} - x)^{2} - b (- \frac{b}{2 a} - x) + c

Expand

(- \frac{b}{2 a} - x)^{2} : \frac{4 x ^{2} a ^{2} + b ^{2} + 4 b x a}{4 a ^{2}}

= \frac{4 x ^{2} a ^{2} + b ^{2} + 4 b x a}{4 a ^{2}} - b (- \frac{b}{2 a} - x) + c

Expand

- b (- \frac{b}{2 a} - x) : \frac{b ^{2}}{2 a} + b x

= \frac{4 x ^{2} a ^{2} + b ^{2} + 4 b x a}{4 a ^{2}} + \frac{b ^{2}}{2 a} + b x + c

(x - \frac{2}{5}) (x + \frac{1}{3})

a (4, - \frac{π}{12})

(1 + \frac{x}{4})^{2}

(- \frac{1}{20} (x - 50))^{2}

What is expand (-b/(2a)-x)^2-b(-b/(2a)-x)+c ?
The solution to expand (-b/(2a)-x)^2-b(-b/(2a)-x)+c is (4x^2a^2+b^2+4bxa)/(4a^2)+(b^2)/(2a)+bx+c