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

The solution to (3x-4y)^2-(3x-4y)(3x+4y) is -24xy+32y^2

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

simplify

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

- 24 x y + 32 y^{2}

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

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

= - 24 x y + 16 y^{2} + 16 y^{2}

Add similar elements:

16 y^{2} + 16 y^{2} = 32 y^{2}

= - 24 x y + 32 y^{2}

∣ - 6 x ∣ = 18

2 x = - 3

\frac{3 x + 2}{2 x - 7} \leq 0

80 x - 36 > \frac{80}{x}

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

What is (3x-4y)^2-(3x-4y)(3x+4y) ?
The solution to (3x-4y)^2-(3x-4y)(3x+4y) is -24xy+32y^2