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

The solution to (2x-3y)^2-(3y+4y)^2 is 4x^2-12xy-40y^2

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

simplify

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

4 x^{2} - 12 x y - 40 y^{2}

Solution steps

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

Simplify

(3 y + 4 y)^{2} : 49 y^{2}

= (2 x - 3 y)^{2} - 49 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} - 49 y^{2}

Add similar elements:

9 y^{2} - 49 y^{2} = - 40 y^{2}

= 4 x^{2} - 12 x y - 40 y^{2}

22 \cdot x^{2} + 9 x + 52

2 y^{2} - \frac{y}{3} + 3 \frac{y ^{2}}{2} - y

a^{2} b^{2} + 2 b (a^{2} + 1) + a^{2} - b^{2} - 1

(3 p^{3})^{4}

(a^{- 3}) (a^{4})

What is (2x-3y)^2-(3y+4y)^2 ?
The solution to (2x-3y)^2-(3y+4y)^2 is 4x^2-12xy-40y^2