Simplify (1+xy)^2 - MathMaster

(1+xy)2

Rewrite (1+xy)2 as (1+xy)(1+xy).

(1+xy)(1+xy)

Expand (1+xy)(1+xy) using the FOIL Method.

Tap for more steps…

Apply the distributive property.

1(1+xy)+xy(1+xy)

Apply the distributive property.

1⋅1+1(xy)+xy(1+xy)

Apply the distributive property.

1⋅1+1(xy)+xy⋅1+xy(xy)

Simplify and combine like terms.

Tap for more steps…

Simplify each term.

Tap for more steps…

Multiply 1 by 1.

1+1(xy)+xy⋅1+xy(xy)

Multiply xy by 1.

1+xy+xy⋅1+xy(xy)

Multiply x by 1.

1+xy+xy+xy(xy)

Multiply x by x by adding the exponents.

Tap for more steps…

Move x.

1+xy+xy+x⋅xy⋅y

Multiply x by x.

1+xy+xy+x2y⋅y

Multiply y by y by adding the exponents.

Tap for more steps…

Move y.

1+xy+xy+x2(y⋅y)

Multiply y by y.

1+xy+xy+x2y2

Add xy and xy.

1+2xy+x2y2

Move 1.

2xy+x2y2+1

Reorder 2xy and x2y2.

x2y2+2xy+1

Simplify (1+xy)^2

Download our
App from the store