## Related questions with answers

Question

Rewrite the expression:

$(A+B)^2=$

Solution

VerifiedStep 1

1 of 2A perfect square trinomial is of the form $(x+y)^2=x^2+2xy+y^2$ so $(A+B)^2=A^2+2AB+B^2$. This can also be found by FOILing as shown below:

$\begin{align*} (A+B)^2&=(A+B)(A+B)&&\text{Write as a product.}\\ &=A(A)+A(B)+B(A)+B(B)&&\text{FOIL.}\\ &=A^2+AB+AB+B^2&&\text{Multiply.}\\ &=A^2+2AB+B^2&&\text{Combine like terms.} \end{align*}$

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