What is (2x+3y)^2-(2x-3y)^2 ?

The solution to (2x+3y)^2-(2x-3y)^2 is 24xy

Popular >

simplify (2x+3y)^2-(2x-3y)^2

simplify

(2 x + 3 y)^{2} - (2 x - 3 y)^{2}

24 x y

Solution steps

(2 x + 3 y)^{2} - (2 x - 3 y)^{2}

Expand

(2 x + 3 y)^{2} : 4 x^{2} + 12 x y + 9 y^{2}

= 4 x^{2} + 12 x y + 9 y^{2} - (2 x - 3 y)^{2}

Expand

- (2 x - 3 y)^{2} : - 4 x^{2} + 12 x y - 9 y^{2}

= 4 x^{2} + 12 x y + 9 y^{2} - 4 x^{2} + 12 x y - 9 y^{2}

Group like terms

= 4 x^{2} - 4 x^{2} + 12 x y + 12 x y + 9 y^{2} - 9 y^{2}

Add similar elements:

4 x^{2} - 4 x^{2} = 0

= 12 x y + 12 x y + 9 y^{2} - 9 y^{2}

Add similar elements:

12 x y + 12 x y = 24 x y

= 24 x y + 9 y^{2} - 9 y^{2}

Add similar elements:

9 y^{2} - 9 y^{2} = 0

= 24 x y

\frac{i}{i ^{2} + 2 i - 1}

(\frac{1}{32})^{- \frac{1}{5}}

\frac{1 + 6 i}{5 i}

(5)^{2} + (12)^{2}

\frac{( 6 y ) ^{5}}{( 3 y ) ^{4}}