What is expand a(x+b/(2a))^2-(b^2)/(4a)+c ?

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

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expand a(x+b/(2a))^2-(b^2)/(4a)+c

expand

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

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

Solution steps

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

Expand

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

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

Simplify

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

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

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