Try the fastest way to create flashcards
Question

Rewrite the expression:

(A+B)2=(A+B)^2=

Solution

Verified
Step 1
1 of 2

A perfect square trinomial is of the form (x+y)2=x2+2xy+y2(x+y)^2=x^2+2xy+y^2 so (A+B)2=A2+2AB+B2(A+B)^2=A^2+2AB+B^2. This can also be found by FOILing as shown below:

(A+B)2=(A+B)(A+B)Write as a product.=A(A)+A(B)+B(A)+B(B)FOIL.=A2+AB+AB+B2Multiply.=A2+2AB+B2Combine like terms.\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*}

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

enVision Algebra 1 1st Edition by Al Cuoco, Christine D. Thomas, Danielle Kennedy, Eric Milou, Rose Mary Zbiek

enVision Algebra 1

1st EditionISBN: 9780328931576Al Cuoco, Christine D. Thomas, Danielle Kennedy, Eric Milou, Rose Mary Zbiek
3,653 solutions
SpringBoard Algebra 1 1st Edition by SpringBoard

SpringBoard Algebra 1

1st EditionISBN: 9781457301513SpringBoard
3,022 solutions
Algebra 1 4th Edition by Saxon

Algebra 1

4th EditionISBN: 9781602773011Saxon
5,377 solutions
Big Ideas Math Integrated Mathematics II 1st Edition by Boswell, Larson

Big Ideas Math Integrated Mathematics II

1st EditionISBN: 9781680330687Boswell, Larson
4,539 solutions

More related questions

1/4

1/7