Expan \(\left(2x-y\right)\left(2x+y\right)\)using the FOIL Method.
Apply the distributive property.
\(2x\left(2x\right)+2xy-y\left(2x+y\right)\)
Apply the distributive property.
\(2x\left(2x\right)+2xy-y\left(2x+y\right)\)
Apply the distributive property.
\(2x\left(2x\right)+2xy+\left(-y\left(2x\right)-yy\right)\)
Remove parentheses.
Simplify and combine terms.
Simplify each term.
Move x:
\(2\left(2\left(xx\right)\right)+2xy-y\left(2x\right)-yy\)
Use the power rule \(a^ma^n=a^{m+n}\)to combine exponents.
Add 1 and 1 to get 2.
\(2\left(2x^2\right)+2xy-y\left(2x\right)-yy\)
Multiply 2 by 2 to get 4.
\(4x^2+2xy-y\left(2x\right)-yy\)
Multiply 2 by -1 to get -2
\(4x^2+2xy-y\left(2x\right)-yy\)
Move y:
\(4x^2+2xy-2yx-\left(yy\right)\)
Use the power rule \(a^ma^n=a^m+a^n\) to combine exponents.
\(4x^2+2xy-2yx-y^{1+1}\)
Add
1 and 1 to get 2.
\(4x^2+2xy-2yx-y^2\)
Subtract 2yx from 2xy to get 0.
Move y:
\(4x^2+\left(2xy-2yx\right)-y^2\)
Subtract 2yx from 2xy to get 0.
\(4x^2+0-y^2\)
Add 4x2 and 0 to get 4x2.
\(4x^2-y^2\)
