What is (4x+3y)^2-(2x-5y)^2 ?

The solution to (4x+3y)^2-(2x-5y)^2 is 12x^2+44xy-16y^2

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simplify (4x+3y)^2-(2x-5y)^2

simplify

(4 x + 3 y)^{2} - (2 x - 5 y)^{2}

12 x^{2} + 44 x y - 16 y^{2}

Solution steps

(4 x + 3 y)^{2} - (2 x - 5 y)^{2}

Expand

(4 x + 3 y)^{2} : 16 x^{2} + 24 x y + 9 y^{2}

= 16 x^{2} + 24 x y + 9 y^{2} - (2 x - 5 y)^{2}

Expand

- (2 x - 5 y)^{2} : - 4 x^{2} + 20 x y - 25 y^{2}

= 16 x^{2} + 24 x y + 9 y^{2} - 4 x^{2} + 20 x y - 25 y^{2}

Group like terms

= 16 x^{2} - 4 x^{2} + 24 x y + 20 x y + 9 y^{2} - 25 y^{2}

Add similar elements:

16 x^{2} - 4 x^{2} = 12 x^{2}

= 12 x^{2} + 24 x y + 20 x y + 9 y^{2} - 25 y^{2}

Add similar elements:

24 x y + 20 x y = 44 x y

= 12 x^{2} + 44 x y + 9 y^{2} - 25 y^{2}

Add similar elements:

9 y^{2} - 25 y^{2} = - 16 y^{2}

= 12 x^{2} + 44 x y - 16 y^{2}

(\frac{- 5 d}{c}) (\frac{c}{d})^{3}

(3 m + 6) (3 m - 4)

(3 x + 1) (x - 3)

(- 2 x^{3})^{4}

x^{4} y^{2} - x^{5} y^{2}

What is (4x+3y)^2-(2x-5y)^2 ?
The solution to (4x+3y)^2-(2x-5y)^2 is 12x^2+44xy-16y^2