What is expand A(Bx+Ct+D)^2 ?

The solution to expand A(Bx+Ct+D)^2 is AB^2x^2+2ABDx+2ABCxt+AD^2+AC^2t^2+2ACDt

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expand A(Bx+Ct+D)^2

expand

A (B x + Ct + D)^{2}

A B^{2} x^{2} + 2 A B D x + 2 A BC x t + A D^{2} + A C^{2} t^{2} + 2 A C D t

Solution steps

A (B x + Ct + D)^{2}

(B x + Ct + D)^{2} = B^{2} x^{2} + 2 B D x + 2 BC x t + D^{2} + C^{2} t^{2} + 2 C D t

= A (B^{2} x^{2} + 2 B D x + 2 BC x t + C^{2} t^{2} + 2 C D t + D^{2})

Distribute parentheses

= A B^{2} x^{2} + A \cdot 2 B D x + A \cdot 2 BC x t + A D^{2} + A C^{2} t^{2} + A \cdot 2 C D t

= A B^{2} x^{2} + 2 A B D x + 2 A BC x t + A D^{2} + A C^{2} t^{2} + 2 A C D t

(x + 5) e^{2 x}

\frac{\frac{d}{d x} ( x ^{3} + 3 )}{( x + 5 ) ^{2}}

- 2 - 4 (- 2 b x + c = - 6 x)

e^{7 x} (7 - 9 e^{3 x})

\frac{d x}{( x ^{2} + a ^{2} ) ^{2}}

What is expand A(Bx+Ct+D)^2 ?
The solution to expand A(Bx+Ct+D)^2 is AB^2x^2+2ABDx+2ABCxt+AD^2+AC^2t^2+2ACDt